13613455460264 has 256 divisors, whose sum is σ = 29573406720000. Its totient is φ = 5820500125440.

The previous prime is 13613455460191. The next prime is 13613455460287. The reversal of 13613455460264 is 46206455431631.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2062954037 + ... + 2062960635.

It is an arithmetic number, because the mean of its divisors is an integer number (115521120000).

Almost surely, 2^{13613455460264} 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 13613455460264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14786703360000).

13613455460264 is an abundant number, since it is smaller than the sum of its proper divisors (15959951259736).

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

13613455460264 is a wasteful number, since it uses less digits than its factorization.

13613455460264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 13613455460264 in words is "thirteen trillion, six hundred thirteen billion, four hundred fifty-five million, four hundred sixty thousand, two hundred sixty-four".