268231932864 has 420 divisors, whose sum is σ = 965348301456. Its totient is φ = 72126775296.

The previous prime is 268231932851. The next prime is 268231932877. The reversal of 268231932864 is 468239132862.

268231932864 is a `hidden beast` number, since 26 + 8 + 231 + 9 + 328 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (268231932851) and next prime (268231932877).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 268231932864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10474444 + ... + 10500020.

Almost surely, 2^268231932864 is an apocalyptic number.

268231932864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268231932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482674150728).

268231932864 is an abundant number, since it is smaller than the sum of its proper divisors (697116368592).

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

268231932864 is a wasteful number, since it uses less digits than its factorization.

268231932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25642 (or 25606 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 268231932864 in words is "two hundred sixty-eight billion, two hundred thirty-one million, nine hundred thirty-two thousand, eight hundred sixty-four".