32160634015104 has 1152 divisors, whose sum is σ = 115736672862720. Its totient is φ = 8857697587200.

The previous prime is 32160634015073. The next prime is 32160634015129. The reversal of 32160634015104 is 40151043606123.

32160634015104 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 0 + 634 + 0 + 1 + 5 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4799374954 + ... + 4799381654.

It is an arithmetic number, because the mean of its divisors is an integer number (100465861860).

Almost surely, 2^{32160634015104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32160634015104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57868336431360).

32160634015104 is an abundant number, since it is smaller than the sum of its proper divisors (83576038847616).

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

32160634015104 is an equidigital number, since it uses as much as digits as its factorization.

32160634015104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 32160634015104 in words is "thirty-two trillion, one hundred sixty billion, six hundred thirty-four million, fifteen thousand, one hundred four".