164253560526601 has 192 divisors, whose sum is σ = 215899330314240. Its totient is φ = 122191130880000.

The previous prime is 164253560526599. The next prime is 164253560526673. The reversal of 164253560526601 is 106625065352461.

It is not a de Polignac number, because 164253560526601 - 2¹ = 164253560526599 is a prime.

It is a super-2 number, since 2×164253560526601² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164253560527601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57052294680 + ... + 57052297558.

It is an arithmetic number, because the mean of its divisors is an integer number (1124475678720).

Almost surely, 2^{164253560526601} is an apocalyptic number.

It is an amenable number.

164253560526601 is a deficient number, since it is larger than the sum of its proper divisors (51645769787639).

164253560526601 is a wasteful number, since it uses less digits than its factorization.

164253560526601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 52.

The spelling of 164253560526601 in words is "one hundred sixty-four trillion, two hundred fifty-three billion, five hundred sixty million, five hundred twenty-six thousand, six hundred one".