13435661904048 has 60 divisors (see below), whose sum is σ = 37779397479928. Its totient is φ = 4457328583680.

The previous prime is 13435661904023. The next prime is 13435661904079. The reversal of 13435661904048 is 84040916653431.

It is a happy number.

13435661904048 is a `hidden beast` number, since 1 + 3 + 43 + 5 + 6 + 6 + 190 + 404 + 8 = 666.

13435661904048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13435661903985 and 13435661904003.

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, 221067265 + ... + 221128032.

Almost surely, 2^{13435661904048} is an apocalyptic number.

13435661904048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13435661904048 is an abundant number, since it is smaller than the sum of its proper divisors (24343735575880).

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

13435661904048 is a wasteful number, since it uses less digits than its factorization.

13435661904048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442195522 (or 442195513 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 13435661904048 in words is "thirteen trillion, four hundred thirty-five billion, six hundred sixty-one million, nine hundred four thousand, forty-eight".