164167590976 has 21 divisors (see below), whose sum is σ = 325776495639. Its totient is φ = 82082174784.

The previous prime is 164167590947. The next prime is 164167591079. The reversal of 164167590976 is 679095761461.

The square root of 164167590976 is 405176.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3216085 + ... + 3266731.

It is an arithmetic number, because the mean of its divisors is an integer number (15513166459).

Almost surely, 2^164167590976 is an apocalyptic number.

164167590976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164167590976 is the 405176-th square number.

It is an amenable number.

164167590976 is a deficient number, since it is larger than the sum of its proper divisors (161608904663).

164167590976 is an frugal number, since it uses more digits than its factorization.

164167590976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101306 (or 50649 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 164167590976 in words is "one hundred sixty-four billion, one hundred sixty-seven million, five hundred ninety thousand, nine hundred seventy-six".