268141694976 has 585 divisors, whose sum is σ = 857214877233. Its totient is φ = 83514654720.

The previous prime is 268141694971. The next prime is 268141694993. The reversal of 268141694976 is 679496141862.

The square root of 268141694976 is 517824.

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

268141694976 is a `hidden beast` number, since 2 + 6 + 81 + 4 + 1 + 69 + 497 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140607000576 + 127534694400 = 374976^2 + 357120^2 .

It is not an unprimeable number, because it can be changed into a prime (268141694971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8649732081 + ... + 8649732111.

Almost surely, 2^268141694976 is an apocalyptic number.

268141694976 is the 517824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268141694976

268141694976 is an abundant number, since it is smaller than the sum of its proper divisors (589073182257).

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

268141694976 is an frugal number, since it uses more digits than its factorization.

268141694976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 65 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 268141694976 in words is "two hundred sixty-eight billion, one hundred forty-one million, six hundred ninety-four thousand, nine hundred seventy-six".