13867578564 has 192 divisors, whose sum is σ = 40516976640. Its totient is φ = 3602309760.

The previous prime is 13867578563. The next prime is 13867578581. The reversal of 13867578564 is 46587576831.

It is a junction number, because it is equal to n+sod(n) for n = 13867578498 and 13867578507.

It is not an unprimeable number, because it can be changed into a prime (13867578563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6282349 + ... + 6284555.

It is an arithmetic number, because the mean of its divisors is an integer number (211025920).

Almost surely, 2^13867578564 is an apocalyptic number.

13867578564 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 13867578564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20258488320).

13867578564 is an abundant number, since it is smaller than the sum of its proper divisors (26649398076).

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

13867578564 is a wasteful number, since it uses less digits than its factorization.

13867578564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2396 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 60.

The spelling of 13867578564 in words is "thirteen billion, eight hundred sixty-seven million, five hundred seventy-eight thousand, five hundred sixty-four".