11518141268124 has 72 divisors (see below), whose sum is σ = 31027592494080. Its totient is φ = 3594313575072.

The previous prime is 11518141268107. The next prime is 11518141268131. The reversal of 11518141268124 is 42186214181511.

11518141268124 is a `hidden beast` number, since 1 + 1 + 51 + 8 + 1 + 412 + 68 + 124 = 666.

It is a super-2 number, since 2×11518141268124² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11518141268124.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147948304 + ... + 148026135.

It is an arithmetic number, because the mean of its divisors is an integer number (430938784640).

Almost surely, 2^{11518141268124} is an apocalyptic number.

It is an amenable number.

11518141268124 is an abundant number, since it is smaller than the sum of its proper divisors (19509451225956).

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

11518141268124 is a wasteful number, since it uses less digits than its factorization.

11518141268124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295974519 (or 295974514 counting only the distinct ones).

The product of its digits is 122880, while the sum is 45.

The spelling of 11518141268124 in words is "eleven trillion, five hundred eighteen billion, one hundred forty-one million, two hundred sixty-eight thousand, one hundred twenty-four".