13635450254664 has 384 divisors, whose sum is σ = 44353438272000. Its totient is φ = 3702246912000.

The previous prime is 13635450254653. The next prime is 13635450254669. The reversal of 13635450254664 is 46645205453631.

13635450254664 is a `hidden beast` number, since 1 + 3 + 6 + 35 + 4 + 5 + 0 + 2 + 546 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13635450254664.

It is not an unprimeable number, because it can be changed into a prime (13635450254669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240536404 + ... + 240593084.

It is an arithmetic number, because the mean of its divisors is an integer number (115503745500).

Almost surely, 2^{13635450254664} is an apocalyptic number.

13635450254664 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 13635450254664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22176719136000).

13635450254664 is an abundant number, since it is smaller than the sum of its proper divisors (30717988017336).

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

13635450254664 is a wasteful number, since it uses less digits than its factorization.

13635450254664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56989 (or 56982 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 13635450254664 in words is "thirteen trillion, six hundred thirty-five billion, four hundred fifty million, two hundred fifty-four thousand, six hundred sixty-four".