11564434025104 has 45 divisors (see below), whose sum is σ = 22747294201737. Its totient is φ = 5695466380032.

The previous prime is 11564434025101. The next prime is 11564434025149. The reversal of 11564434025104 is 40152043446511.

The square root of 11564434025104 is 3400652.

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

It can be written as a sum of positive squares in only one way, i.e., 1290614146704 + 10273819878400 = 1136052^2 + 3205280^2 .

It is a super-2 number, since 2×11564434025104² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11564434025101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 911368392 + ... + 911381080.

Almost surely, 2^{11564434025104} is an apocalyptic number.

11564434025104 is the 3400652-nd square number.

It is an amenable number.

11564434025104 is a deficient number, since it is larger than the sum of its proper divisors (11182860176633).

11564434025104 is an frugal number, since it uses more digits than its factorization.

11564434025104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25520 (or 12758 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 11564434025104 in words is "eleven trillion, five hundred sixty-four billion, four hundred thirty-four million, twenty-five thousand, one hundred four".