258216103362816 has 297 divisors, whose sum is σ = 773318068895869. Its totient is φ = 86051208895488.

The previous prime is 258216103362797. The next prime is 258216103362821. The reversal of 258216103362816 is 618263301612852.

The square root of 258216103362816 is 16069104.

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

258216103362816 is a `hidden beast` number, since 2 + 5 + 8 + 2 + 1 + 6 + 1 + 0 + 3 + 3 + 628 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191043260985600 + 67172842377216 = 13821840^2 + 8195904^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 62476674286 + ... + 62476678418.

Almost surely, 2^{258216103362816} is an apocalyptic number.

258216103362816 is the 16069104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258216103362816

258216103362816 is an abundant number, since it is smaller than the sum of its proper divisors (515101965533053).

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

258216103362816 is an frugal number, since it uses more digits than its factorization.

258216103362816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8312 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 258216103362816 in words is "two hundred fifty-eight trillion, two hundred sixteen billion, one hundred three million, three hundred sixty-two thousand, eight hundred sixteen".