114112908800 has 240 divisors, whose sum is σ = 312360364800. Its totient is φ = 40966348800.

The previous prime is 114112908761. The next prime is 114112908821. The reversal of 114112908800 is 8809211411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11118071 + ... + 11128329.

It is an arithmetic number, because the mean of its divisors is an integer number (1301501520).

Almost surely, 2^114112908800 is an apocalyptic number.

114112908800 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 114112908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156180182400).

114112908800 is an abundant number, since it is smaller than the sum of its proper divisors (198247456000).

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

114112908800 is a wasteful number, since it uses less digits than its factorization.

114112908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10377 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The spelling of 114112908800 in words is "one hundred fourteen billion, one hundred twelve million, nine hundred eight thousand, eight hundred".