268249842432 has 864 divisors, whose sum is σ = 983529630720. Its totient is φ = 69050695680.

The previous prime is 268249842401. The next prime is 268249842481. The reversal of 268249842432 is 234248942862.

268249842432 is a `hidden beast` number, since 2 + 6 + 82 + 4 + 98 + 42 + 432 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263247619 + ... + 263248637.

It is an arithmetic number, because the mean of its divisors is an integer number (1138344480).

Almost surely, 2^268249842432 is an apocalyptic number.

268249842432 is a gapful number since it is divisible by the number (22) 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 268249842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491764815360).

268249842432 is an abundant number, since it is smaller than the sum of its proper divisors (715279788288).

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

268249842432 is a wasteful number, since it uses less digits than its factorization.

268249842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1112 counting only the distinct ones).

The product of its digits is 10616832, while the sum is 54.

The spelling of 268249842432 in words is "two hundred sixty-eight billion, two hundred forty-nine million, eight hundred forty-two thousand, four hundred thirty-two".