13564106632544 has 48 divisors (see below), whose sum is σ = 29245947045840. Its totient is φ = 6154249152000.

The previous prime is 13564106632543. The next prime is 13564106632597. The reversal of 13564106632544 is 44523660146531.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13564106632492 and 13564106632501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13564106632543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276297707 + ... + 276346794.

It is an arithmetic number, because the mean of its divisors is an integer number (609290563455).

Almost surely, 2^{13564106632544} is an apocalyptic number.

It is an amenable number.

13564106632544 is an abundant number, since it is smaller than the sum of its proper divisors (15681840413296).

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

13564106632544 is a wasteful number, since it uses less digits than its factorization.

13564106632544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552644583 (or 552644575 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 13564106632544 in words is "thirteen trillion, five hundred sixty-four billion, one hundred six million, six hundred thirty-two thousand, five hundred forty-four".