164910712464 has 135 divisors (see below), whose sum is σ = 473104752003. Its totient is φ = 53623636416.

The previous prime is 164910712457. The next prime is 164910712487. The reversal of 164910712464 is 464217019461.

The square root of 164910712464 is 406092.

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

164910712464 is a `hidden beast` number, since 16 + 491 + 0 + 71 + 24 + 64 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 209543079 + ... + 209543865.

Almost surely, 2^164910712464 is an apocalyptic number.

164910712464 is the 406092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164910712464

164910712464 is an abundant number, since it is smaller than the sum of its proper divisors (308194039539).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164910712464 is an frugal number, since it uses more digits than its factorization.

164910712464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 164910712464 in words is "one hundred sixty-four billion, nine hundred ten million, seven hundred twelve thousand, four hundred sixty-four".