320056142566601 has 16 divisors (see below), whose sum is σ = 369336807840000. Its totient is φ = 271665169671168.

The previous prime is 320056142566583. The next prime is 320056142566639. The reversal of 320056142566601 is 106665241650023.

It is not a de Polignac number, because 320056142566601 - 2²⁶ = 320056075457737 is a prime.

It is a super-2 number, since 2×320056142566601² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320056142566801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33423545 + ... + 41919513.

It is an arithmetic number, because the mean of its divisors is an integer number (23083550490000).

Almost surely, 2^{320056142566601} is an apocalyptic number.

It is an amenable number.

320056142566601 is a deficient number, since it is larger than the sum of its proper divisors (49280665273399).

320056142566601 is a wasteful number, since it uses less digits than its factorization.

320056142566601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548328.

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 320056142566601 in words is "three hundred twenty trillion, fifty-six billion, one hundred forty-two million, five hundred sixty-six thousand, six hundred one".