114395602665744 has 135 divisors (see below), whose sum is σ = 328162859096709. Its totient is φ = 37200110711040.

The previous prime is 114395602665661. The next prime is 114395602665749. The reversal of 114395602665744 is 447566206593411.

The square root of 114395602665744 is 10695588.

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

114395602665744 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 56 + 0 + 2 + 6 + 6 + 574 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5512221187344 + 108883381478400 = 2347812^2 + 10434720^2 .

It is not an unprimeable number, because it can be changed into a prime (114395602665749) 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, 5262218427 + ... + 5262240165.

Almost surely, 2^{114395602665744} is an apocalyptic number.

114395602665744 is the 10695588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114395602665744

114395602665744 is an abundant number, since it is smaller than the sum of its proper divisors (213767256430965).

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

114395602665744 is an frugal number, since it uses more digits than its factorization.

114395602665744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43574 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 114395602665744 in words is "one hundred fourteen trillion, three hundred ninety-five billion, six hundred two million, six hundred sixty-five thousand, seven hundred forty-four".