32256225152 has 64 divisors (see below), whose sum is σ = 66494371200. Its totient is φ = 15569971200.

The previous prime is 32256225149. The next prime is 32256225167. The reversal of 32256225152 is 25152265223.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×32256225152² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1660874 + ... + 1680182.

It is an arithmetic number, because the mean of its divisors is an integer number (1038974550).

Almost surely, 2^32256225152 is an apocalyptic number.

32256225152 is a gapful number since it is divisible by the number (32) 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 32256225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247185600).

32256225152 is an abundant number, since it is smaller than the sum of its proper divisors (34238146048).

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

32256225152 is a wasteful number, since it uses less digits than its factorization.

32256225152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19775 (or 19763 counting only the distinct ones).

The product of its digits is 72000, while the sum is 35.

The spelling of 32256225152 in words is "thirty-two billion, two hundred fifty-six million, two hundred twenty-five thousand, one hundred fifty-two".