32009144086656 has 96 divisors (see below), whose sum is σ = 100483250652720. Its totient is φ = 9699740628480.

The previous prime is 32009144086631. The next prime is 32009144086681. The reversal of 32009144086656 is 65668044190023.

32009144086656 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 91 + 440 + 8 + 66 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (32009144086631) and next prime (32009144086681).

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1262974390 + ... + 1262999733.

Almost surely, 2^{32009144086656} is an apocalyptic number.

32009144086656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

32009144086656 is an abundant number, since it is smaller than the sum of its proper divisors (68474106566064).

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

32009144086656 is a wasteful number, since it uses less digits than its factorization.

32009144086656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525974154 (or 2525974139 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 32009144086656 in words is "thirty-two trillion, nine billion, one hundred forty-four million, eighty-six thousand, six hundred fifty-six".