160164040961601 has 48 divisors (see below), whose sum is σ = 232954221532032. Its totient is φ = 106037588160000.

The previous prime is 160164040961579. The next prime is 160164040961609. The reversal of 160164040961601 is 106169040461061.

160164040961601 is a `hidden beast` number, since 16 + 0 + 16 + 4 + 0 + 4 + 0 + 9 + 616 + 0 + 1 = 666.

It is not a de Polignac number, because 160164040961601 - 2²⁵ = 160164007407169 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (160164040961609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1356883881 + ... + 1357001913.

It is an arithmetic number, because the mean of its divisors is an integer number (4853212948584).

Almost surely, 2^{160164040961601} is an apocalyptic number.

It is an amenable number.

160164040961601 is a deficient number, since it is larger than the sum of its proper divisors (72790180570431).

160164040961601 is a wasteful number, since it uses less digits than its factorization.

160164040961601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120054 (or 120051 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 160164040961601 in words is "one hundred sixty trillion, one hundred sixty-four billion, forty million, nine hundred sixty-one thousand, six hundred one".