258046822656 has 576 divisors, whose sum is σ = 913807319040. Its totient is φ = 70229237760.

The previous prime is 258046822651. The next prime is 258046822667. The reversal of 258046822656 is 656228640852.

258046822656 is a `hidden beast` number, since 2 + 580 + 4 + 6 + 8 + 2 + 2 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×258046822656² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (258046822651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513015301 + ... + 513015803.

It is an arithmetic number, because the mean of its divisors is an integer number (1586471040).

Almost surely, 2^258046822656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258046822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456903659520).

258046822656 is an abundant number, since it is smaller than the sum of its proper divisors (655760496384).

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

258046822656 is a wasteful number, since it uses less digits than its factorization.

258046822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 258046822656 in words is "two hundred fifty-eight billion, forty-six million, eight hundred twenty-two thousand, six hundred fifty-six".