11459497795344 has 75 divisors (see below), whose sum is σ = 33167464010373. Its totient is φ = 3819791976192.

The previous prime is 11459497795331. The next prime is 11459497795349. The reversal of 11459497795344 is 44359779495411.

The square root of 11459497795344 is 3385188.

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

11459497795344 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 9 + 497 + 7 + 95 + 3 + 44 = 666.

11459497795344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6478959344400 + 4980538450944 = 2545380^2 + 2231712^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (11459497795349) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 121819752 + ... + 121913784.

Almost surely, 2^{11459497795344} is an apocalyptic number.

11459497795344 is the 3385188-th square number.

It is an amenable number.

11459497795344 is an abundant number, since it is smaller than the sum of its proper divisors (21707966215029).

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

11459497795344 is an frugal number, since it uses more digits than its factorization.

11459497795344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188086 (or 94038 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 11459497795344 in words is "eleven trillion, four hundred fifty-nine billion, four hundred ninety-seven million, seven hundred ninety-five thousand, three hundred forty-four".