114992356752 has 320 divisors, whose sum is σ = 407973888000. Its totient is φ = 30198292992.

The previous prime is 114992356751. The next prime is 114992356799. The reversal of 114992356752 is 257653299411.

114992356752 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 9 + 23 + 567 + 52 = 666.

It is a super-2 number, since 2×114992356752² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (114992356751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9389449 + ... + 9401687.

It is an arithmetic number, because the mean of its divisors is an integer number (1274918400).

Almost surely, 2^114992356752 is an apocalyptic number.

114992356752 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 114992356752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944000).

114992356752 is an abundant number, since it is smaller than the sum of its proper divisors (292981531248).

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

114992356752 is a wasteful number, since it uses less digits than its factorization.

114992356752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12515 (or 12503 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 114992356752 in words is "one hundred fourteen billion, nine hundred ninety-two million, three hundred fifty-six thousand, seven hundred fifty-two".