13656584448 has 378 divisors, whose sum is σ = 44359013706. Its totient is φ = 4192321536.

The previous prime is 13656584401. The next prime is 13656584509. The reversal of 13656584448 is 84448565631.

13656584448 is a `hidden beast` number, since 1 + 3 + 6 + 56 + 584 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 649638144 + 13006946304 = 25488^2 + 114048^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13656584394 and 13656584403.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 31539240 + ... + 31539672.

Almost surely, 2^13656584448 is an apocalyptic number.

13656584448 is a gapful number since it is divisible by the number (18) 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 13656584448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22179506853).

13656584448 is an abundant number, since it is smaller than the sum of its proper divisors (30702429258).

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

13656584448 is an frugal number, since it uses more digits than its factorization.

13656584448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 451 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 13656584448 in words is "thirteen billion, six hundred fifty-six million, five hundred eighty-four thousand, four hundred forty-eight".