108974013951600 has 2880 divisors, whose sum is σ = 486441635742720. Its totient is φ = 23019945984000.

The previous prime is 108974013951571. The next prime is 108974013951601. The reversal of 108974013951600 is 6159310479801.

108974013951600 is a `hidden beast` number, since 1 + 0 + 8 + 97 + 4 + 0 + 1 + 39 + 516 + 0 + 0 = 666.

It is a super-2 number, since 2×108974013951600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108974013951601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 131770270387 + ... + 131770271213.

It is an arithmetic number, because the mean of its divisors is an integer number (168903345744).

Almost surely, 2^{108974013951600} is an apocalyptic number.

108974013951600 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 108974013951600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243220817871360).

108974013951600 is an abundant number, since it is smaller than the sum of its proper divisors (377467621791120).

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

108974013951600 is a wasteful number, since it uses less digits than its factorization.

108974013951600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 108974013951600 in words is "one hundred eight trillion, nine hundred seventy-four billion, thirteen million, nine hundred fifty-one thousand, six hundred".