11117228976 has 360 divisors, whose sum is σ = 37639361760. Its totient is φ = 3051675648.

The previous prime is 11117228953. The next prime is 11117228981. The reversal of 11117228976 is 67982271111.

It is a happy number.

11117228976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25323765 + ... + 25324203.

Almost surely, 2^11117228976 is an apocalyptic number.

11117228976 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 11117228976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18819680880).

11117228976 is an abundant number, since it is smaller than the sum of its proper divisors (26522132784).

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

11117228976 is a wasteful number, since it uses less digits than its factorization.

11117228976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 585 counting only the distinct ones).

The product of its digits is 84672, while the sum is 45.

The spelling of 11117228976 in words is "eleven billion, one hundred seventeen million, two hundred twenty-eight thousand, nine hundred seventy-six".