114391613952 has 240 divisors, whose sum is σ = 411606816192. Its totient is φ = 29712015360.

The previous prime is 114391613951. The next prime is 114391613993. The reversal of 114391613952 is 259316193411.

114391613952 is a `hidden beast` number, since 1 + 1 + 439 + 161 + 3 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 114391613898 and 114391613907.

It is not an unprimeable number, because it can be changed into a prime (114391613951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193618 + ... + 516014.

Almost surely, 2^114391613952 is an apocalyptic number.

114391613952 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 114391613952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205803408096).

114391613952 is an abundant number, since it is smaller than the sum of its proper divisors (297215202240).

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

114391613952 is a wasteful number, since it uses less digits than its factorization.

114391613952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322439 (or 322420 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The spelling of 114391613952 in words is "one hundred fourteen billion, three hundred ninety-one million, six hundred thirteen thousand, nine hundred fifty-two".