164820572361 has 45 divisors (see below), whose sum is σ = 249807013533. Its totient is φ = 108299491560.

The previous prime is 164820572341. The next prime is 164820572369. The reversal of 164820572361 is 163275028461.

The square root of 164820572361 is 405981.

It is a perfect power (a square), and thus also a powerful number.

164820572361 is a `hidden beast` number, since 1 + 6 + 48 + 2 + 0 + 572 + 36 + 1 = 666.

It is not a de Polignac number, because 164820572361 - 2¹⁵ = 164820539593 is a prime.

It is a super-2 number, since 2×164820572361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164820572369) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 288652206 + ... + 288652776.

Almost surely, 2^164820572361 is an apocalyptic number.

164820572361 is the 405981-st square number.

164820572361 is the 202991-st centered octagonal number.

It is an amenable number.

164820572361 is a deficient number, since it is larger than the sum of its proper divisors (84986441172).

164820572361 is an frugal number, since it uses more digits than its factorization.

164820572361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 164820572361 in words is "one hundred sixty-four billion, eight hundred twenty million, five hundred seventy-two thousand, three hundred sixty-one".