114380039131904 has 432 divisors, whose sum is σ = 298647303337152. Its totient is φ = 43253921120256.

The previous prime is 114380039131829. The next prime is 114380039131957. The reversal of 114380039131904 is 409131930083411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6349851602 + ... + 6349869614.

Almost surely, 2^{114380039131904} is an apocalyptic number.

114380039131904 is a gapful number since it is divisible by the number (14) 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 114380039131904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149323651668576).

114380039131904 is an abundant number, since it is smaller than the sum of its proper divisors (184267264205248).

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

114380039131904 is a wasteful number, since it uses less digits than its factorization.

114380039131904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19772 (or 19751 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The spelling of 114380039131904 in words is "one hundred fourteen trillion, three hundred eighty billion, thirty-nine million, one hundred thirty-one thousand, nine hundred four".