11117250648 has 160 divisors (see below), whose sum is σ = 35691321600. Its totient is φ = 3167045568.

The previous prime is 11117250611. The next prime is 11117250707. The reversal of 11117250648 is 84605271111.

11117250648 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 7 + 2 + 5 + 0 + 648 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1625011 + ... + 1631837.

It is an arithmetic number, because the mean of its divisors is an integer number (223070760).

Almost surely, 2^11117250648 is an apocalyptic number.

11117250648 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 11117250648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17845660800).

11117250648 is an abundant number, since it is smaller than the sum of its proper divisors (24574070952).

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

11117250648 is a wasteful number, since it uses less digits than its factorization.

11117250648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211 (or 7198 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The spelling of 11117250648 in words is "eleven billion, one hundred seventeen million, two hundred fifty thousand, six hundred forty-eight".