114929136144 has 315 divisors, whose sum is σ = 346551224157. Its totient is φ = 36906202368.

The previous prime is 114929136131. The next prime is 114929136167. The reversal of 114929136144 is 441631929411.

It is a happy number.

The square root of 114929136144 is 339012.

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

114929136144 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 29 + 1 + 3 + 614 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65239376400 + 49689759744 = 255420^2 + 222912^2 .

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 114929136144.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1574371692 + ... + 1574371764.

Almost surely, 2^114929136144 is an apocalyptic number.

114929136144 is the 339012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114929136144

114929136144 is an abundant number, since it is smaller than the sum of its proper divisors (231622088013).

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

114929136144 is an frugal number, since it uses more digits than its factorization.

114929136144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 121 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 114929136144 in words is "one hundred fourteen billion, nine hundred twenty-nine million, one hundred thirty-six thousand, one hundred forty-four".