13358664704 has 352 divisors, whose sum is σ = 36142487040. Its totient is φ = 4777574400.

The previous prime is 13358664679. The next prime is 13358664727. The reversal of 13358664704 is 40746685331.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55430024 + ... + 55430264.

It is an arithmetic number, because the mean of its divisors is an integer number (102677520).

Almost surely, 2^13358664704 is an apocalyptic number.

13358664704 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 13358664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18071243520).

13358664704 is an abundant number, since it is smaller than the sum of its proper divisors (22783822336).

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

13358664704 is a wasteful number, since it uses less digits than its factorization.

13358664704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 13358664704 in words is "thirteen billion, three hundred fifty-eight million, six hundred sixty-four thousand, seven hundred four".