32351085216 has 72 divisors (see below), whose sum is σ = 92025146304. Its totient is φ = 10780560000.

The previous prime is 32351085209. The next prime is 32351085233. The reversal of 32351085216 is 61258015323.

32351085216 is a `hidden beast` number, since 3 + 23 + 5 + 108 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1110841 + ... + 1139591.

It is an arithmetic number, because the mean of its divisors is an integer number (1278127032).

Almost surely, 2^32351085216 is an apocalyptic number.

32351085216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32351085216 is an abundant number, since it is smaller than the sum of its proper divisors (59674061088).

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

32351085216 is a wasteful number, since it uses less digits than its factorization.

32351085216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32674 (or 32663 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 32351085216 in words is "thirty-two billion, three hundred fifty-one million, eighty-five thousand, two hundred sixteen".