114526742724 has 81 divisors (see below), whose sum is σ = 300761399757. Its totient is φ = 38157306336.

The previous prime is 114526742713. The next prime is 114526742741. The reversal of 114526742724 is 427247625411.

The square root of 114526742724 is 338418.

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

114526742724 is a `hidden beast` number, since 1 + 14 + 526 + 7 + 42 + 72 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 100921853124 + 13604889600 = 317682^2 + 116640^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a self number, because there is not a number n which added to its sum of digits gives 114526742724.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54822672 + ... + 54824760.

Almost surely, 2^114526742724 is an apocalyptic number.

114526742724 is the 338418-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114526742724

114526742724 is an abundant number, since it is smaller than the sum of its proper divisors (186234657033).

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

114526742724 is an frugal number, since it uses more digits than its factorization.

114526742724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4206 (or 2094 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The spelling of 114526742724 in words is "one hundred fourteen billion, five hundred twenty-six million, seven hundred forty-two thousand, seven hundred twenty-four".