13358855664 has 400 divisors, whose sum is σ = 48483325440. Its totient is φ = 3449848320.

The previous prime is 13358855659. The next prime is 13358855683. The reversal of 13358855664 is 46655885331.

It is a happy number.

13358855664 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 88 + 556 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10368000) is a multiple of the sum of its prime factors (810).

It is a self number, because there is not a number n which added to its sum of digits gives 13358855664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26245042 + ... + 26245550.

Almost surely, 2^13358855664 is an apocalyptic number.

13358855664 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 13358855664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24241662720).

13358855664 is an abundant number, since it is smaller than the sum of its proper divisors (35124469776).

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

13358855664 is a wasteful number, since it uses less digits than its factorization.

13358855664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 13358855664 in words is "thirteen billion, three hundred fifty-eight million, eight hundred fifty-five thousand, six hundred sixty-four".