108399648071232 has 896 divisors, whose sum is σ = 398325319680000. Its totient is φ = 28205383901184.

The previous prime is 108399648071159. The next prime is 108399648071329. The reversal of 108399648071232 is 232170846993801.

108399648071232 is a `hidden beast` number, since 1 + 0 + 8 + 39 + 96 + 480 + 7 + 1 + 2 + 32 = 666.

108399648071232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 108399648071232.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1526225673 + ... + 1526296695.

Almost surely, 2^{108399648071232} is an apocalyptic number.

108399648071232 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 108399648071232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199162659840000).

108399648071232 is an abundant number, since it is smaller than the sum of its proper divisors (289925671608768).

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

108399648071232 is a wasteful number, since it uses less digits than its factorization.

108399648071232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71328 (or 71312 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 108399648071232 in words is "one hundred eight trillion, three hundred ninety-nine billion, six hundred forty-eight million, seventy-one thousand, two hundred thirty-two".