164968952512576 has 63 divisors (see below), whose sum is σ = 329795339603709. Its totient is φ = 81875412638208.

The previous prime is 164968952512541. The next prime is 164968952512591. The reversal of 164968952512576 is 675215259869461.

The square root of 164968952512576 is 12844024.

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

It can be written as a sum of positive squares in only one way, i.e., 96903548481600 + 68065404030976 = 9843960^2 + 8250176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14077044445 + ... + 14077056163.

Almost surely, 2^{164968952512576} is an apocalyptic number.

164968952512576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164968952512576 is the 12844024-th square number.

It is an amenable number.

164968952512576 is a deficient number, since it is larger than the sum of its proper divisors (164826387091133).

164968952512576 is an frugal number, since it uses more digits than its factorization.

164968952512576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 11858 counting only the distinct ones).

The product of its digits is 1959552000, while the sum is 76.

The spelling of 164968952512576 in words is "one hundred sixty-four trillion, nine hundred sixty-eight billion, nine hundred fifty-two million, five hundred twelve thousand, five hundred seventy-six".