114165976392 has 512 divisors, whose sum is σ = 371589120000. Its totient is φ = 32188907520.

The previous prime is 114165976357. The next prime is 114165976427. The reversal of 114165976392 is 293679561411.

114165976392 is a `hidden beast` number, since 1 + 1 + 4 + 16 + 597 + 6 + 39 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114165976357) and next prime (114165976427).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2449440) is a multiple of the sum of its prime divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254266984 + ... + 254267432.

It is an arithmetic number, because the mean of its divisors is an integer number (725760000).

Almost surely, 2^114165976392 is an apocalyptic number.

114165976392 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 114165976392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560000).

114165976392 is an abundant number, since it is smaller than the sum of its proper divisors (257423143608).

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

114165976392 is a wasteful number, since it uses less digits than its factorization.

114165976392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 114165976392 in words is "one hundred fourteen billion, one hundred sixty-five million, nine hundred seventy-six thousand, three hundred ninety-two".