11917082368 has 72 divisors (see below), whose sum is σ = 25350571008. Its totient is φ = 5578079232.

The previous prime is 11917082339. The next prime is 11917082381. The reversal of 11917082368 is 86328071911.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255205 + ... + 298267.

It is an arithmetic number, because the mean of its divisors is an integer number (352091264).

Almost surely, 2^11917082368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11917082368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12675285504).

11917082368 is an abundant number, since it is smaller than the sum of its proper divisors (13433488640).

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

11917082368 is an equidigital number, since it uses as much as digits as its factorization.

11917082368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43149 (or 43135 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 11917082368 in words is "eleven billion, nine hundred seventeen million, eighty-two thousand, three hundred sixty-eight".