11563598638144 has 56 divisors (see below), whose sum is σ = 26294897359808. Its totient is φ = 4942541514240.

The previous prime is 11563598638139. The next prime is 11563598638169. The reversal of 11563598638144 is 44183689536511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34432902 + ... + 34767109.

It is an arithmetic number, because the mean of its divisors is an integer number (469551738568).

Almost surely, 2^{11563598638144} is an apocalyptic number.

11563598638144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11563598638144 is an abundant number, since it is smaller than the sum of its proper divisors (14731298721664).

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

11563598638144 is an equidigital number, since it uses as much as digits as its factorization.

11563598638144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69200403 (or 69200393 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 64.

The spelling of 11563598638144 in words is "eleven trillion, five hundred sixty-three billion, five hundred ninety-eight million, six hundred thirty-eight thousand, one hundred forty-four".