216572458392801 has 27 divisors (see below), whose sum is σ = 363901180660563. Its totient is φ = 123755513913360.

The previous prime is 216572458392779. The next prime is 216572458392803. The reversal of 216572458392801 is 108293854275612.

It is a happy number.

The square root of 216572458392801 is 14716401.

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

216572458392801 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 7 + 24 + 583 + 9 + 28 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 202134434325201 + 14438024067600 = 14217399^2 + 3799740^2 .

It is not a de Polignac number, because 216572458392801 - 2⁷ = 216572458392673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (216572458392803) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 308694031 + ... + 309394811.

It is a 2-persistent number, because it is pandigital, and so is 2⋅216572458392801 = 433144916785602, but 3⋅216572458392801 = 649717375178403 is not.

Almost surely, 2^{216572458392801} is an apocalyptic number.

216572458392801 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

216572458392801 is the 14716401-st square number.

216572458392801 is the 7358201-st centered octagonal number.

It is an amenable number.

216572458392801 is a deficient number, since it is larger than the sum of its proper divisors (147328722267762).

216572458392801 is an frugal number, since it uses more digits than its factorization.

216572458392801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401582 (or 700791 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 216572458392801 in words is "two hundred sixteen trillion, five hundred seventy-two billion, four hundred fifty-eight million, three hundred ninety-two thousand, eight hundred one".