164093047056 has 45 divisors (see below), whose sum is σ = 459246229221. Its totient is φ = 54696062016.

The previous prime is 164093047049. The next prime is 164093047087. The reversal of 164093047056 is 650740390461.

The square root of 164093047056 is 405084.

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

164093047056 is a `hidden beast` number, since 1 + 6 + 40 + 93 + 0 + 470 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103387971600 + 60705075456 = 321540^2 + 246384^2 .

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, 4844130 + ... + 4877886.

Almost surely, 2^164093047056 is an apocalyptic number.

164093047056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

164093047056 is the 405084-th square number.

It is an amenable number.

164093047056 is an abundant number, since it is smaller than the sum of its proper divisors (295153182165).

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

164093047056 is an frugal number, since it uses more digits than its factorization.

164093047056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67528 (or 33762 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 164093047056 in words is "one hundred sixty-four billion, ninety-three million, forty-seven thousand, fifty-six".