16258644904401 has 81 divisors (see below), whose sum is σ = 24502372307049. Its totient is φ = 10388562656400.

The previous prime is 16258644904367. The next prime is 16258644904421. The reversal of 16258644904401 is 10440944685261.

The square root of 16258644904401 is 4032201.

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

16258644904401 is a `hidden beast` number, since 1 + 6 + 2 + 58 + 64 + 4 + 90 + 440 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-16258644904401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16258644904421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 71623986250 + ... + 71623986476.

Almost surely, 2^{16258644904401} is an apocalyptic number.

16258644904401 is the 4032201-st square number.

16258644904401 is the 2016101-st centered octagonal number.

It is an amenable number.

16258644904401 is a deficient number, since it is larger than the sum of its proper divisors (8243727402648).

16258644904401 is an frugal number, since it uses more digits than its factorization.

16258644904401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 16258644904401 in words is "sixteen trillion, two hundred fifty-eight billion, six hundred forty-four million, nine hundred four thousand, four hundred one".