13531368564 has 144 divisors (see below), whose sum is σ = 40811971200. Its totient is φ = 3698327808.

The previous prime is 13531368559. The next prime is 13531368581. The reversal of 13531368564 is 46586313531.

13531368564 is a `hidden beast` number, since 1 + 3 + 53 + 1 + 36 + 8 + 564 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788079 + ... + 805065.

Almost surely, 2^13531368564 is an apocalyptic number.

13531368564 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 13531368564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20405985600).

13531368564 is an abundant number, since it is smaller than the sum of its proper divisors (27280602636).

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

13531368564 is a wasteful number, since it uses less digits than its factorization.

13531368564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17142 (or 17137 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 13531368564 in words is "thirteen billion, five hundred thirty-one million, three hundred sixty-eight thousand, five hundred sixty-four".