268191408384 has 81 divisors (see below), whose sum is σ = 773333624973. Its totient is φ = 89388850176.

The previous prime is 268191408311. The next prime is 268191408389. The reversal of 268191408384 is 483804191862.

It is a happy number.

The square root of 268191408384 is 517872.

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

268191408384 is a `hidden beast` number, since 268 + 191 + 40 + 83 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121471766784 + 146719641600 = 348528^2 + 383040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268191408384.

It is not an unprimeable number, because it can be changed into a prime (268191408389) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24852462 + ... + 24863250.

Almost surely, 2^268191408384 is an apocalyptic number.

268191408384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

268191408384 is the 517872-nd square number.

It is an amenable number.

268191408384 is an abundant number, since it is smaller than the sum of its proper divisors (505142216589).

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

268191408384 is an frugal number, since it uses more digits than its factorization.

268191408384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21600 (or 10794 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 268191408384 in words is "two hundred sixty-eight billion, one hundred ninety-one million, four hundred eight thousand, three hundred eighty-four".