268904179104 has 384 divisors, whose sum is σ = 818102218752. Its totient is φ = 76542935040.

The previous prime is 268904179087. The next prime is 268904179157. The reversal of 268904179104 is 401971409862.

268904179104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268904179104² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 369881589 + ... + 369882315.

It is an arithmetic number, because the mean of its divisors is an integer number (2130474528).

Almost surely, 2^268904179104 is an apocalyptic number.

268904179104 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 268904179104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409051109376).

268904179104 is an abundant number, since it is smaller than the sum of its proper divisors (549198039648).

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

268904179104 is a wasteful number, since it uses less digits than its factorization.

268904179104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 268904179104 in words is "two hundred sixty-eight billion, nine hundred four million, one hundred seventy-nine thousand, one hundred four".