114400322656 has 96 divisors (see below), whose sum is σ = 237183206400. Its totient is φ = 54210816000.

The previous prime is 114400322653. The next prime is 114400322671. The reversal of 114400322656 is 656223004411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114400322651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76829560 + ... + 76831048.

It is an arithmetic number, because the mean of its divisors is an integer number (2470658400).

Almost surely, 2^114400322656 is an apocalyptic number.

114400322656 is a gapful number since it is divisible by the number (16) 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 114400322656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118591603200).

114400322656 is an abundant number, since it is smaller than the sum of its proper divisors (122782883744).

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

114400322656 is a wasteful number, since it uses less digits than its factorization.

114400322656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 114400322656 in words is "one hundred fourteen billion, four hundred million, three hundred twenty-two thousand, six hundred fifty-six".