268114315392 has 384 divisors, whose sum is σ = 966949326720. Its totient is φ = 69274828800.

The previous prime is 268114315387. The next prime is 268114315397. The reversal of 268114315392 is 293513411862.

268114315392 is a `hidden beast` number, since 2 + 6 + 81 + 1 + 4 + 31 + 539 + 2 = 666.

268114315392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268114315387) and next prime (268114315397).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×268114315392² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (268114315397) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17112042 + ... + 17127702.

It is an arithmetic number, because the mean of its divisors is an integer number (2518097205).

Almost surely, 2^268114315392 is an apocalyptic number.

268114315392 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 268114315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483474663360).

268114315392 is an abundant number, since it is smaller than the sum of its proper divisors (698835011328).

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

268114315392 is a wasteful number, since it uses less digits than its factorization.

268114315392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892 (or 15877 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 268114315392 in words is "two hundred sixty-eight billion, one hundred fourteen million, three hundred fifteen thousand, three hundred ninety-two".