164017710081 has 45 divisors (see below), whose sum is σ = 260372869779. Its totient is φ = 102874193856.

The previous prime is 164017710061. The next prime is 164017710107. The reversal of 164017710081 is 180017710461.

The square root of 164017710081 is 404991.

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

164017710081 is a `hidden beast` number, since 1 + 6 + 401 + 77 + 100 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127695449025 + 36322261056 = 357345^2 + 190584^2 .

It is not a de Polignac number, because 164017710081 - 2¹³ = 164017701889 is a prime.

It is a super-2 number, since 2×164017710081² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164017710011) 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, 61962300 + ... + 61964946.

Almost surely, 2^164017710081 is an apocalyptic number.

164017710081 is the 404991-st square number.

164017710081 is the 202496-th centered octagonal number.

It is an amenable number.

164017710081 is a deficient number, since it is larger than the sum of its proper divisors (96355159698).

164017710081 is an frugal number, since it uses more digits than its factorization.

164017710081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 2667 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Multiplying 164017710081 by its sum of digits (36), we get a square (5904637562916 = 2429946²).

The spelling of 164017710081 in words is "one hundred sixty-four billion, seventeen million, seven hundred ten thousand, eighty-one".