11315267136 has 140 divisors (see below), whose sum is σ = 33590356492. Its totient is φ = 3766321152.

The previous prime is 11315267101. The next prime is 11315267141. The reversal of 11315267136 is 63176251311.

11315267136 is a `hidden beast` number, since 1 + 1 + 31 + 526 + 71 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4777574400 + 6537692736 = 69120^2 + 80856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11315267136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5354016 + ... + 5356128.

Almost surely, 2^11315267136 is an apocalyptic number.

11315267136 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 11315267136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795178246).

11315267136 is an abundant number, since it is smaller than the sum of its proper divisors (22275089356).

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

11315267136 is a wasteful number, since it uses less digits than its factorization.

11315267136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3151 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The spelling of 11315267136 in words is "eleven billion, three hundred fifteen million, two hundred sixty-seven thousand, one hundred thirty-six".