32094216864 has 144 divisors (see below), whose sum is σ = 92343888000. Its totient is φ = 10572456960.

The previous prime is 32094216851. The next prime is 32094216907. The reversal of 32094216864 is 46861249023.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×32094216864² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 16054137 + ... + 16056135.

It is an arithmetic number, because the mean of its divisors is an integer number (641277000).

Almost surely, 2^32094216864 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 32094216864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46171944000).

32094216864 is an abundant number, since it is smaller than the sum of its proper divisors (60249671136).

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

32094216864 is a wasteful number, since it uses less digits than its factorization.

32094216864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 32094216864 in words is "thirty-two billion, ninety-four million, two hundred sixteen thousand, eight hundred sixty-four".