11291982816 has 48 divisors (see below), whose sum is σ = 29692099584. Its totient is φ = 3757563264.

The previous prime is 11291982799. The next prime is 11291982847. The reversal of 11291982816 is 61828919211.

It is a happy number.

11291982816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 43840 + ... + 156543.

It is an arithmetic number, because the mean of its divisors is an integer number (618585408).

Almost surely, 2^11291982816 is an apocalyptic number.

11291982816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11291982816 is an abundant number, since it is smaller than the sum of its proper divisors (18400116768).

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

11291982816 is a wasteful number, since it uses less digits than its factorization.

11291982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200983 (or 200975 counting only the distinct ones).

The product of its digits is 124416, while the sum is 48.

The spelling of 11291982816 in words is "eleven billion, two hundred ninety-one million, nine hundred eighty-two thousand, eight hundred sixteen".