11416590768 has 80 divisors (see below), whose sum is σ = 32187868416. Its totient is φ = 3458085120.

The previous prime is 11416590767. The next prime is 11416590791. The reversal of 11416590768 is 86709561411.

It is a happy number.

11416590768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11416590767) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2446005 + ... + 2450667.

Almost surely, 2^11416590768 is an apocalyptic number.

It is an amenable number.

11416590768 is an abundant number, since it is smaller than the sum of its proper divisors (20771277648).

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

11416590768 is a wasteful number, since it uses less digits than its factorization.

11416590768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9322 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 48.

The spelling of 11416590768 in words is "eleven billion, four hundred sixteen million, five hundred ninety thousand, seven hundred sixty-eight".