11133357912468 has 72 divisors (see below), whose sum is σ = 30741634953120. Its totient is φ = 3369288000960.

The previous prime is 11133357912379. The next prime is 11133357912497. The reversal of 11133357912468 is 86421975333111.

11133357912468 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 3 + 579 + 1 + 2 + 4 + 68 = 666.

11133357912468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11133357912468² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18269938 + ... + 18869481.

Almost surely, 2^{11133357912468} is an apocalyptic number.

11133357912468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11133357912468 is an abundant number, since it is smaller than the sum of its proper divisors (19608277040652).

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

11133357912468 is a wasteful number, since it uses less digits than its factorization.

11133357912468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37140197 (or 37140192 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 11133357912468 in words is "eleven trillion, one hundred thirty-three billion, three hundred fifty-seven million, nine hundred twelve thousand, four hundred sixty-eight".