108129149586432 has 528 divisors, whose sum is σ = 348812403244032. Its totient is φ = 33258905026560.

The previous prime is 108129149586401. The next prime is 108129149586461. The reversal of 108129149586432 is 234685941921801.

108129149586432 is a `hidden beast` number, since 1 + 0 + 8 + 1 + 2 + 9 + 1 + 4 + 9 + 586 + 43 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 108129149586432.

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 47 ways as a sum of consecutive naturals, for example, 16455505707 + ... + 16455512277.

Almost surely, 2^{108129149586432} is an apocalyptic number.

108129149586432 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 108129149586432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174406201622016).

108129149586432 is an abundant number, since it is smaller than the sum of its proper divisors (240683253657600).

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

108129149586432 is an equidigital number, since it uses as much as digits as its factorization.

108129149586432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11676 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 108129149586432 in words is "one hundred eight trillion, one hundred twenty-nine billion, one hundred forty-nine million, five hundred eighty-six thousand, four hundred thirty-two".