13735205604 has 18 divisors (see below), whose sum is σ = 34719547590. Its totient is φ = 4578401856.

The previous prime is 13735205593. The next prime is 13735205629. The reversal of 13735205604 is 40650253731.

13735205604 is a `hidden beast` number, since 1 + 3 + 73 + 5 + 20 + 560 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10516912704 + 3218292900 = 102552^2 + 56730^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 381533489 = 13735205604 / (1 + 3 + 7 + 3 + 5 + 2 + 0 + 5 + 6 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190766709 + ... + 190766780.

It is an arithmetic number, because the mean of its divisors is an integer number (1928863755).

Almost surely, 2^13735205604 is an apocalyptic number.

It is an amenable number.

13735205604 is an abundant number, since it is smaller than the sum of its proper divisors (20984341986).

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

13735205604 is a wasteful number, since it uses less digits than its factorization.

13735205604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381533499 (or 381533494 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 13735205604 in words is "thirteen billion, seven hundred thirty-five million, two hundred five thousand, six hundred four".