108198969540480 has 1536 divisors, whose sum is σ = 480397889664000. Its totient is φ = 22812664283136.

The previous prime is 108198969540433. The next prime is 108198969540539. The reversal of 108198969540480 is 84045969891801.

108198969540480 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 9 + 8 + 96 + 9 + 54 + 0 + 480 = 666.

It is a super-3 number, since 3×108198969540480³ (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 junction number, because it is equal to n+sod(n) for n = 108198969540399 and 108198969540408.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21783562957 + ... + 21783567923.

It is an arithmetic number, because the mean of its divisors is an integer number (312759042750).

Almost surely, 2^{108198969540480} is an apocalyptic number.

108198969540480 is a gapful number since it is divisible by the number (10) 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 108198969540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240198944832000).

108198969540480 is an abundant number, since it is smaller than the sum of its proper divisors (372198920123520).

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

108198969540480 is a wasteful number, since it uses less digits than its factorization.

108198969540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6976 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 108198969540480 in words is "one hundred eight trillion, one hundred ninety-eight billion, nine hundred sixty-nine million, five hundred forty thousand, four hundred eighty".