114731238400 has 297 divisors, whose sum is σ = 298629466941. Its totient is φ = 43703009280.

The previous prime is 114731238343. The next prime is 114731238407. The reversal of 114731238400 is 4832137411.

The square root of 114731238400 is 338720.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 63053218816 + 51678019584 = 251104^2 + 227328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114731238407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1571660764 + ... + 1571660836.

Almost surely, 2^114731238400 is an apocalyptic number.

114731238400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114731238400 is the 338720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114731238400

114731238400 is an abundant number, since it is smaller than the sum of its proper divisors (183898228541).

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

114731238400 is an frugal number, since it uses more digits than its factorization.

114731238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 114731238400 in words is "one hundred fourteen billion, seven hundred thirty-one million, two hundred thirty-eight thousand, four hundred".