114996519972 has 72 divisors (see below), whose sum is σ = 297221101632. Its totient is φ = 37477886400.

The previous prime is 114996519959. The next prime is 114996519977. The reversal of 114996519972 is 279915699411.

114996519972 is a `hidden beast` number, since 1 + 1 + 49 + 9 + 6 + 519 + 9 + 72 = 666.

114996519972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (114996519977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209947 + ... + 523517.

It is an arithmetic number, because the mean of its divisors is an integer number (4128070856).

Almost surely, 2^114996519972 is an apocalyptic number.

114996519972 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 114996519972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148610550816).

114996519972 is an abundant number, since it is smaller than the sum of its proper divisors (182224581660).

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

114996519972 is a wasteful number, since it uses less digits than its factorization.

114996519972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313809 (or 313804 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 63.

The spelling of 114996519972 in words is "one hundred fourteen billion, nine hundred ninety-six million, five hundred nineteen thousand, nine hundred seventy-two".