114736657984 has 63 divisors (see below), whose sum is σ = 246617385987. Its totient is φ = 52939121664.

The previous prime is 114736657943. The next prime is 114736658033. The reversal of 114736657984 is 489756637411.

It is a happy number.

The square root of 114736657984 is 338728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 114731238400 = 2328^2 + 338720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35226084 + ... + 35229340.

Almost surely, 2^114736657984 is an apocalyptic number.

114736657984 is the 338728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114736657984

114736657984 is an abundant number, since it is smaller than the sum of its proper divisors (131880728003).

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

114736657984 is an frugal number, since it uses more digits than its factorization.

114736657984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 3272 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 61.

The spelling of 114736657984 in words is "one hundred fourteen billion, seven hundred thirty-six million, six hundred fifty-seven thousand, nine hundred eighty-four".