11456312644 has 48 divisors (see below), whose sum is σ = 23379753600. Its totient is φ = 4810383360.

The previous prime is 11456312633. The next prime is 11456312653. The reversal of 11456312644 is 44621365411.

11456312644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11456312644³ (a number of 31 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 425907 + ... + 452005.

It is an arithmetic number, because the mean of its divisors is an integer number (487078200).

Almost surely, 2^11456312644 is an apocalyptic number.

11456312644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11456312644 is an abundant number, since it is smaller than the sum of its proper divisors (11923440956).

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

11456312644 is a wasteful number, since it uses less digits than its factorization.

11456312644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26428 (or 26426 counting only the distinct ones).

The product of its digits is 69120, while the sum is 37.

The spelling of 11456312644 in words is "eleven billion, four hundred fifty-six million, three hundred twelve thousand, six hundred forty-four".