164297272896 has 63 divisors (see below), whose sum is σ = 470956353361. Its totient is φ = 54762514944.

The previous prime is 164297272877. The next prime is 164297272903. The reversal of 164297272896 is 698272792461.

The square root of 164297272896 is 405336.

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

164297272896 is a `hidden beast` number, since 1 + 64 + 297 + 2 + 7 + 289 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5574712896 + 158722560000 = 74664^2 + 398400^2 .

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, 9719620 + ... + 9736508.

Almost surely, 2^164297272896 is an apocalyptic number.

164297272896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164297272896 is the 405336-th square number.

It is an amenable number.

164297272896 is an abundant number, since it is smaller than the sum of its proper divisors (306659080465).

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

164297272896 is an frugal number, since it uses more digits than its factorization.

164297272896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33796 (or 16894 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 164297272896 in words is "one hundred sixty-four billion, two hundred ninety-seven million, two hundred seventy-two thousand, eight hundred ninety-six".