268458708456 has 64 divisors (see below), whose sum is σ = 745761643200. Its totient is φ = 89481075264.

The previous prime is 268458708439. The next prime is 268458708473. The reversal of 268458708456 is 654807854862.

268458708456 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 587 + 0 + 8 + 45 + 6 = 666.

268458708456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268458708439) and next prime (268458708473).

It is a junction number, because it is equal to n+sod(n) for n = 268458708393 and 268458708402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6326446 + ... + 6368738.

It is an arithmetic number, because the mean of its divisors is an integer number (11652525675).

Almost surely, 2^268458708456 is an apocalyptic number.

It is an amenable number.

268458708456 is an abundant number, since it is smaller than the sum of its proper divisors (477302934744).

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

268458708456 is a wasteful number, since it uses less digits than its factorization.

268458708456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71695 (or 71685 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 268458708456 in words is "two hundred sixty-eight billion, four hundred fifty-eight million, seven hundred eight thousand, four hundred fifty-six".