114457715856 has 225 divisors, whose sum is σ = 353871444745. Its totient is φ = 34535297280.

The previous prime is 114457715849. The next prime is 114457715857. The reversal of 114457715856 is 658517754411.

The square root of 114457715856 is 338316.

It is a perfect power (a square), and thus also a powerful number.

114457715856 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 57 + 7 + 1 + 585 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23244051600 + 91213664256 = 152460^2 + 302016^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114457715857) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 491234716 + ... + 491234948.

Almost surely, 2^114457715856 is an apocalyptic number.

114457715856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114457715856 is the 338316-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114457715856

114457715856 is an abundant number, since it is smaller than the sum of its proper divisors (239413728889).

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

114457715856 is an frugal number, since it uses more digits than its factorization.

114457715856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 249 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 54.

The spelling of 114457715856 in words is "one hundred fourteen billion, four hundred fifty-seven million, seven hundred fifteen thousand, eight hundred fifty-six".