108741953682432 has 352 divisors, whose sum is σ = 387417827059200. Its totient is φ = 29433911279616.

The previous prime is 108741953682391. The next prime is 108741953682449. The reversal of 108741953682432 is 234286359147801.

It is a happy number.

108741953682432 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 1 + 95 + 36 + 82 + 432 = 666.

108741953682432 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 108741953682432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11108853 + ... + 18463220.

It is a 1-persistent number, because it is pandigital, but 2⋅108741953682432 = 217483907364864 is not.

Almost surely, 2^{108741953682432} is an apocalyptic number.

108741953682432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

108741953682432 is an abundant number, since it is smaller than the sum of its proper divisors (278675873376768).

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

108741953682432 is a wasteful number, since it uses less digits than its factorization.

108741953682432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29572128 (or 29572104 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 108741953682432 in words is "one hundred eight trillion, seven hundred forty-one billion, nine hundred fifty-three million, six hundred eighty-two thousand, four hundred thirty-two".