13657336704 has 384 divisors, whose sum is σ = 45734906880. Its totient is φ = 3870535680.

The previous prime is 13657336673. The next prime is 13657336711. The reversal of 13657336704 is 40763375631.

It is a happy number.

13657336704 is a `hidden beast` number, since 1 + 3 + 6 + 573 + 3 + 6 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 13657336704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13697934 + ... + 13698930.

It is an arithmetic number, because the mean of its divisors is an integer number (119101320).

Almost surely, 2^13657336704 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 13657336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22867453440).

13657336704 is an abundant number, since it is smaller than the sum of its proper divisors (32077570176).

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

13657336704 is a wasteful number, since it uses less digits than its factorization.

13657336704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 13657336704 in words is "thirteen billion, six hundred fifty-seven million, three hundred thirty-six thousand, seven hundred four".