13736681404704 has 96 divisors (see below), whose sum is σ = 40268698525440. Its totient is φ = 4555650629376.

The previous prime is 13736681404619. The next prime is 13736681404709. The reversal of 13736681404704 is 40740418663731.

It is a happy number.

13736681404704 is a `hidden beast` number, since 1 + 3 + 73 + 6 + 68 + 1 + 40 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (13736681404709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40182424 + ... + 40522839.

It is an arithmetic number, because the mean of its divisors is an integer number (419465609640).

Almost surely, 2^{13736681404704} is an apocalyptic number.

It is an amenable number.

13736681404704 is an abundant number, since it is smaller than the sum of its proper divisors (26532017120736).

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

13736681404704 is a wasteful number, since it uses less digits than its factorization.

13736681404704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80705479 (or 80705465 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 13736681404704 in words is "thirteen trillion, seven hundred thirty-six billion, six hundred eighty-one million, four hundred four thousand, seven hundred four".