13653165456 has 240 divisors, whose sum is σ = 44868021120. Its totient is φ = 3795148800.

The previous prime is 13653165433. The next prime is 13653165457. The reversal of 13653165456 is 65456135631.

It is a happy number.

13653165456 is a `hidden beast` number, since 1 + 3 + 6 + 531 + 65 + 4 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (13653165457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6005536 + ... + 6007808.

It is an arithmetic number, because the mean of its divisors is an integer number (186950088).

Almost surely, 2^13653165456 is an apocalyptic number.

13653165456 is a gapful number since it is divisible by the number (16) 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 13653165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434010560).

13653165456 is an abundant number, since it is smaller than the sum of its proper divisors (31214855664).

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

13653165456 is a wasteful number, since it uses less digits than its factorization.

13653165456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2445 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 13653165456 in words is "thirteen billion, six hundred fifty-three million, one hundred sixty-five thousand, four hundred fifty-six".