258352624656 has 225 divisors, whose sum is σ = 870260128749. Its totient is φ = 73778439168.

The previous prime is 258352624643. The next prime is 258352624661. The reversal of 258352624656 is 656426253852.

The square root of 258352624656 is 508284.

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

258352624656 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 5 + 2 + 624 + 6 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218518851600 + 39833773056 = 467460^2 + 199584^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 128086560 + ... + 128088576.

Almost surely, 2^258352624656 is an apocalyptic number.

258352624656 is the 508284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258352624656

258352624656 is an abundant number, since it is smaller than the sum of its proper divisors (611907504093).

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

258352624656 is an frugal number, since it uses more digits than its factorization.

258352624656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 2029 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 54.

The spelling of 258352624656 in words is "two hundred fifty-eight billion, three hundred fifty-two million, six hundred twenty-four thousand, six hundred fifty-six".