11857067136 has 192 divisors, whose sum is σ = 35459494200. Its totient is φ = 3798466560.

The previous prime is 11857067093. The next prime is 11857067161. The reversal of 11857067136 is 63176075811.

11857067136 is a `hidden beast` number, since 1 + 1 + 8 + 570 + 6 + 71 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11793960000 + 63107136 = 108600^2 + 7944^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11857067136² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11857067091 and 11857067100.

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, 8585166 + ... + 8586546.

Almost surely, 2^11857067136 is an apocalyptic number.

11857067136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11857067136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17729747100).

11857067136 is an abundant number, since it is smaller than the sum of its proper divisors (23602427064).

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

11857067136 is a wasteful number, since it uses less digits than its factorization.

11857067136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11857067136 in words is "eleven billion, eight hundred fifty-seven million, sixty-seven thousand, one hundred thirty-six".