114584433312 has 192 divisors, whose sum is σ = 325724958720. Its totient is φ = 35146773504.

The previous prime is 114584433307. The next prime is 114584433317. The reversal of 114584433312 is 213334485411.

It is an interprime number because it is at equal distance from previous prime (114584433307) and next prime (114584433317).

It is not an unprimeable number, because it can be changed into a prime (114584433317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55541593 + ... + 55543655.

It is an arithmetic number, because the mean of its divisors is an integer number (1696484160).

Almost surely, 2^114584433312 is an apocalyptic number.

114584433312 is a gapful number since it is divisible by the number (12) 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 114584433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162862479360).

114584433312 is an abundant number, since it is smaller than the sum of its proper divisors (211140525408).

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

114584433312 is a wasteful number, since it uses less digits than its factorization.

114584433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2947 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The spelling of 114584433312 in words is "one hundred fourteen billion, five hundred eighty-four million, four hundred thirty-three thousand, three hundred twelve".