114980930400 has 432 divisors, whose sum is σ = 437731983360. Its totient is φ = 26138649600.

The previous prime is 114980930399. The next prime is 114980930413. The reversal of 114980930400 is 4039089411.

114980930400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×114980930400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 22459041 + ... + 22464159.

It is an arithmetic number, because the mean of its divisors is an integer number (1013268480).

Almost surely, 2^114980930400 is an apocalyptic number.

114980930400 is a gapful number since it is divisible by the number (10) 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 114980930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218865991680).

114980930400 is an abundant number, since it is smaller than the sum of its proper divisors (322751052960).

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

114980930400 is a wasteful number, since it uses less digits than its factorization.

114980930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347 (or 5327 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 114980930400 in words is "one hundred fourteen billion, nine hundred eighty million, nine hundred thirty thousand, four hundred".