11517413136 has 80 divisors (see below), whose sum is σ = 30841502208. Its totient is φ = 3699763200.

The previous prime is 11517413101. The next prime is 11517413161. The reversal of 11517413136 is 63131471511.

It is a junction number, because it is equal to n+sod(n) for n = 11517413097 and 11517413106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342550 + ... + 374666.

Almost surely, 2^11517413136 is an apocalyptic number.

11517413136 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 11517413136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15420751104).

11517413136 is an abundant number, since it is smaller than the sum of its proper divisors (19324089072).

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

11517413136 is a wasteful number, since it uses less digits than its factorization.

11517413136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32400 (or 32394 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

Adding to 11517413136 its reverse (63131471511), we get a palindrome (74648884647).

The spelling of 11517413136 in words is "eleven billion, five hundred seventeen million, four hundred thirteen thousand, one hundred thirty-six".