268093949024 has 96 divisors (see below), whose sum is σ = 594611684352. Its totient is φ = 117881280000.

The previous prime is 268093948961. The next prime is 268093949051. The reversal of 268093949024 is 420949390862.

It is a happy number.

It is a super-2 number, since 2×268093949024² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43939574 + ... + 43945674.

It is an arithmetic number, because the mean of its divisors is an integer number (6193871712).

Almost surely, 2^268093949024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268093949024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297305842176).

268093949024 is an abundant number, since it is smaller than the sum of its proper divisors (326517735328).

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

268093949024 is a wasteful number, since it uses less digits than its factorization.

268093949024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10180 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 56.

The spelling of 268093949024 in words is "two hundred sixty-eight billion, ninety-three million, nine hundred forty-nine thousand, twenty-four".