114916480000 has 440 divisors, whose sum is σ = 332428738752. Its totient is φ = 38879232000.

The previous prime is 114916479917. The next prime is 114916480027. The reversal of 114916480000 is 84619411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 506239887 + ... + 506240113.

Almost surely, 2^114916480000 is an apocalyptic number.

114916480000 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 114916480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166214369376).

114916480000 is an abundant number, since it is smaller than the sum of its proper divisors (217512258752).

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

114916480000 is an equidigital number, since it uses as much as digits as its factorization.

114916480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 114916480000 in words is "one hundred fourteen billion, nine hundred sixteen million, four hundred eighty thousand".