114700456000 has 224 divisors, whose sum is σ = 308277889920. Its totient is φ = 42022656000.

The previous prime is 114700455997. The next prime is 114700456001. The reversal of 114700456000 is 654007411.

It is a self number, because there is not a number n which added to its sum of digits gives 114700456000.

It is not an unprimeable number, because it can be changed into a prime (114700456001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13619791 + ... + 13628209.

It is an arithmetic number, because the mean of its divisors is an integer number (1376240580).

Almost surely, 2^114700456000 is an apocalyptic number.

114700456000 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 114700456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154138944960).

114700456000 is an abundant number, since it is smaller than the sum of its proper divisors (193577433920).

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

114700456000 is a wasteful number, since it uses less digits than its factorization.

114700456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8570 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 114700456000 in words is "one hundred fourteen billion, seven hundred million, four hundred fifty-six thousand".