268017431616 has 567 divisors, whose sum is σ = 884533243503. Its totient is φ = 77531351040.

The previous prime is 268017431597. The next prime is 268017431621. The reversal of 268017431616 is 616134710862.

The square root of 268017431616 is 517704.

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

268017431616 is a `hidden beast` number, since 26 + 8 + 0 + 1 + 7 + 4 + 3 + 1 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106991793216 + 161025638400 = 327096^2 + 401280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5056932646 + ... + 5056932698.

Almost surely, 2^268017431616 is an apocalyptic number.

268017431616 is the 517704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268017431616

268017431616 is an abundant number, since it is smaller than the sum of its proper divisors (616515811887).

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

268017431616 is a wasteful number, since it uses less digits than its factorization.

268017431616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 268017431616 in words is "two hundred sixty-eight billion, seventeen million, four hundred thirty-one thousand, six hundred sixteen".