13613599678464 has 168 divisors, whose sum is σ = 39344600596392. Its totient is φ = 4535694458880.

The previous prime is 13613599678387. The next prime is 13613599678489. The reversal of 13613599678464 is 46487699531631.

13613599678464 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 3 + 5 + 9 + 96 + 78 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13613599678392 and 13613599678401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157808527 + ... + 157894769.

It is an arithmetic number, because the mean of its divisors is an integer number (234194051169).

Almost surely, 2^{13613599678464} 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 13613599678464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19672300298196).

13613599678464 is an abundant number, since it is smaller than the sum of its proper divisors (25731000917928).

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

13613599678464 is an equidigital number, since it uses as much as digits as its factorization.

13613599678464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88416 (or 88389 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 13613599678464 in words is "thirteen trillion, six hundred thirteen billion, five hundred ninety-nine million, six hundred seventy-eight thousand, four hundred sixty-four".