258608415113464 has 256 divisors, whose sum is σ = 567883859558400. Its totient is φ = 109423125504000.

The previous prime is 258608415113431. The next prime is 258608415113491. The reversal of 258608415113464 is 464311514806852.

It is a junction number, because it is equal to n+sod(n) for n = 258608415113399 and 258608415113408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22639267257 + ... + 22639278679.

It is an arithmetic number, because the mean of its divisors is an integer number (2218296326400).

Almost surely, 2^{258608415113464} 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 258608415113464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283941929779200).

258608415113464 is an abundant number, since it is smaller than the sum of its proper divisors (309275444444936).

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

258608415113464 is a wasteful number, since it uses less digits than its factorization.

258608415113464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406 (or 14402 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 58.

The spelling of 258608415113464 in words is "two hundred fifty-eight trillion, six hundred eight billion, four hundred fifteen million, one hundred thirteen thousand, four hundred sixty-four".