11295971458704 has 135 divisors (see below), whose sum is σ = 33366709238889. Its totient is φ = 3566906893440.

The previous prime is 11295971458649. The next prime is 11295971458741. The reversal of 11295971458704 is 40785417959211.

The square root of 11295971458704 is 3360948.

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

11295971458704 is a `hidden beast` number, since 1 + 1 + 2 + 95 + 97 + 1 + 458 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10991532361104 + 304439097600 = 3315348^2 + 551760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 766288774 + ... + 766303514.

Almost surely, 2^{11295971458704} is an apocalyptic number.

11295971458704 is the 3360948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11295971458704

11295971458704 is an abundant number, since it is smaller than the sum of its proper divisors (22070737780185).

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

11295971458704 is an frugal number, since it uses more digits than its factorization.

11295971458704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29534 (or 14765 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 11295971458704 in words is "eleven trillion, two hundred ninety-five billion, nine hundred seventy-one million, four hundred fifty-eight thousand, seven hundred four".