114953342832 has 120 divisors (see below), whose sum is σ = 333775980720. Its totient is φ = 38300428800.

The previous prime is 114953342813. The next prime is 114953342839. The reversal of 114953342832 is 238243359411.

It is a happy number.

114953342832 is a `hidden beast` number, since 1 + 1 + 49 + 533 + 42 + 8 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114953342839) 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, 10838332 + ... + 10848932.

It is an arithmetic number, because the mean of its divisors is an integer number (2781466506).

Almost surely, 2^114953342832 is an apocalyptic number.

114953342832 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 114953342832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166887990360).

114953342832 is an abundant number, since it is smaller than the sum of its proper divisors (218822637888).

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

114953342832 is a wasteful number, since it uses less digits than its factorization.

114953342832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13413 (or 13395 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 114953342832 in words is "one hundred fourteen billion, nine hundred fifty-three million, three hundred forty-two thousand, eight hundred thirty-two".