114832318464 has 280 divisors, whose sum is σ = 348805144908. Its totient is φ = 37636669440.

The previous prime is 114832318459. The next prime is 114832318511. The reversal of 114832318464 is 464813238411.

114832318464 is a `hidden beast` number, since 1 + 1 + 483 + 2 + 31 + 84 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78042009600 + 36790308864 = 279360^2 + 191808^2 .

It is a super-2 number, since 2×114832318464² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40475254 + ... + 40478090.

Almost surely, 2^114832318464 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 114832318464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174402572454).

114832318464 is an abundant number, since it is smaller than the sum of its proper divisors (233972826444).

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

114832318464 is an frugal number, since it uses more digits than its factorization.

114832318464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2903 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 114832318464 in words is "one hundred fourteen billion, eight hundred thirty-two million, three hundred eighteen thousand, four hundred sixty-four".