11517144408 has 512 divisors, whose sum is σ = 41261875200. Its totient is φ = 2926730880.

The previous prime is 11517144349. The next prime is 11517144437. The reversal of 11517144408 is 80444171511.

It is a happy number.

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

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 127 ways as a sum of consecutive naturals, for example, 111816885 + ... + 111816987.

It is an arithmetic number, because the mean of its divisors is an integer number (80589600).

Almost surely, 2^11517144408 is an apocalyptic number.

11517144408 is a gapful number since it is divisible by the number (18) 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 11517144408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20630937600).

11517144408 is an abundant number, since it is smaller than the sum of its proper divisors (29744730792).

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

11517144408 is a wasteful number, since it uses less digits than its factorization.

11517144408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11517144408 in words is "eleven billion, five hundred seventeen million, one hundred forty-four thousand, four hundred eight".