13453618464 has 576 divisors, whose sum is σ = 47076277248. Its totient is φ = 3590092800.

The previous prime is 13453618441. The next prime is 13453618471. The reversal of 13453618464 is 46481635431.

13453618464 is a `hidden beast` number, since 1 + 3 + 453 + 61 + 84 + 64 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125734699 + ... + 125734805.

It is an arithmetic number, because the mean of its divisors is an integer number (81729648).

Almost surely, 2^13453618464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13453618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23538138624).

13453618464 is an abundant number, since it is smaller than the sum of its proper divisors (33622658784).

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

13453618464 is a wasteful number, since it uses less digits than its factorization.

13453618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 13453618464 in words is "thirteen billion, four hundred fifty-three million, six hundred eighteen thousand, four hundred sixty-four".