268293334960152 has 96 divisors (see below), whose sum is σ = 789544619136000. Its totient is φ = 81991171961280.

The previous prime is 268293334960141. The next prime is 268293334960169. The reversal of 268293334960152 is 251069433392862.

It is a happy number.

268293334960152 is a `hidden beast` number, since 2 + 6 + 8 + 2 + 93 + 3 + 3 + 496 + 0 + 1 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 268293334960152.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3163197252 + ... + 3163282067.

It is an arithmetic number, because the mean of its divisors is an integer number (8224423116000).

Almost surely, 2^{268293334960152} is an apocalyptic number.

It is an amenable number.

268293334960152 is an abundant number, since it is smaller than the sum of its proper divisors (521251284175848).

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

268293334960152 is a wasteful number, since it uses less digits than its factorization.

268293334960152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6326479381 (or 6326479374 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 268293334960152 in words is "two hundred sixty-eight trillion, two hundred ninety-three billion, three hundred thirty-four million, nine hundred sixty thousand, one hundred fifty-two".