11244631664 has 80 divisors (see below), whose sum is σ = 25592736960. Its totient is φ = 4686612480.

The previous prime is 11244631649. The next prime is 11244631681. The reversal of 11244631664 is 46613644211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 598802 + ... + 617294.

It is an arithmetic number, because the mean of its divisors is an integer number (319909212).

Almost surely, 2^11244631664 is an apocalyptic number.

11244631664 is a gapful number since it is divisible by the number (14) 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 11244631664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796368480).

11244631664 is an abundant number, since it is smaller than the sum of its proper divisors (14348105296).

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

11244631664 is a wasteful number, since it uses less digits than its factorization.

11244631664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18658 (or 18652 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 11244631664 in words is "eleven billion, two hundred forty-four million, six hundred thirty-one thousand, six hundred sixty-four".