32891798016 has 1440 divisors, whose sum is σ = 137539321920. Its totient is φ = 7431782400.

The previous prime is 32891797973. The next prime is 32891798041. The reversal of 32891798016 is 61089719823.

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, 802238956 + ... + 802238996.

It is an arithmetic number, because the mean of its divisors is an integer number (95513418).

Almost surely, 2^32891798016 is an apocalyptic number.

32891798016 is a gapful number since it is divisible by the number (36) 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 32891798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68769660960).

32891798016 is an abundant number, since it is smaller than the sum of its proper divisors (104647523904).

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

32891798016 is a wasteful number, since it uses less digits than its factorization.

32891798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 32891798016 in words is "thirty-two billion, eight hundred ninety-one million, seven hundred ninety-eight thousand, sixteen".