268135704658944 has 528 divisors, whose sum is σ = 809176460090544. Its totient is φ = 85437736550400.

The previous prime is 268135704658883. The next prime is 268135704658993. The reversal of 268135704658944 is 449856407531862.

268135704658944 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 3 + 5 + 70 + 465 + 8 + 94 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72770453913600 + 195365250745344 = 8530560^2 + 13977312^2 .

It is a super-2 number, since 2×268135704658944² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15480373804 + ... + 15480391124.

It is a 2-persistent number, because it is pandigital, and so is 2⋅268135704658944 = 536271409317888, but 3⋅268135704658944 = 804407113976832 is not.

Almost surely, 2^{268135704658944} is an apocalyptic number.

268135704658944 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 268135704658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404588230045272).

268135704658944 is an abundant number, since it is smaller than the sum of its proper divisors (541040755431600).

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

268135704658944 is a wasteful number, since it uses less digits than its factorization.

268135704658944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18214 (or 18193 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 268135704658944 in words is "two hundred sixty-eight trillion, one hundred thirty-five billion, seven hundred four million, six hundred fifty-eight thousand, nine hundred forty-four".