11255524918164 has 72 divisors (see below), whose sum is σ = 29152260282600. Its totient is φ = 3659472230400.

The previous prime is 11255524918147. The next prime is 11255524918229. The reversal of 11255524918164 is 46181942555211.

11255524918164 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 552 + 4 + 9 + 1 + 81 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 232460908164 + 11023064010000 = 482142^2 + 3320100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11255524918164.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5394412 + ... + 7184060.

It is an arithmetic number, because the mean of its divisors is an integer number (404892503925).

Almost surely, 2^{11255524918164} is an apocalyptic number.

It is an amenable number.

11255524918164 is an abundant number, since it is smaller than the sum of its proper divisors (17896735364436).

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

11255524918164 is a wasteful number, since it uses less digits than its factorization.

11255524918164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793961 (or 1793956 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The spelling of 11255524918164 in words is "eleven trillion, two hundred fifty-five billion, five hundred twenty-four million, nine hundred eighteen thousand, one hundred sixty-four".