108539488392192 has 1056 divisors, whose sum is σ = 394559006325120. Its totient is φ = 28230014730240.

The previous prime is 108539488392187. The next prime is 108539488392197. The reversal of 108539488392192 is 291293884935801.

108539488392192 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 3 + 9 + 48 + 8 + 392 + 192 = 666.

It is an interprime number because it is at equal distance from previous prime (108539488392187) and next prime (108539488392197).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×108539488392192³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 108539488392192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108539488392197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1859510784 + ... + 1859569152.

Almost surely, 2^{108539488392192} is an apocalyptic number.

108539488392192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108539488392192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197279503162560).

108539488392192 is an abundant number, since it is smaller than the sum of its proper divisors (286019517932928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

108539488392192 is a wasteful number, since it uses less digits than its factorization.

108539488392192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58519 (or 58498 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 108539488392192 in words is "one hundred eight trillion, five hundred thirty-nine billion, four hundred eighty-eight million, three hundred ninety-two thousand, one hundred ninety-two".