13674266961696 has 144 divisors (see below), whose sum is σ = 42422604063840. Its totient is φ = 4143590415360.

The previous prime is 13674266961683. The next prime is 13674266961697. The reversal of 13674266961696 is 69616966247631.

13674266961696 is a `hidden beast` number, since 1 + 36 + 7 + 426 + 6 + 9 + 6 + 169 + 6 = 666.

13674266961696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (13674266961697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187233475 + ... + 187306493.

It is an arithmetic number, because the mean of its divisors is an integer number (294601417110).

Almost surely, 2^{13674266961696} is an apocalyptic number.

13674266961696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13674266961696 is an abundant number, since it is smaller than the sum of its proper divisors (28748337102144).

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

13674266961696 is a wasteful number, since it uses less digits than its factorization.

13674266961696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132159 (or 132148 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 13674266961696 in words is "thirteen trillion, six hundred seventy-four billion, two hundred sixty-six million, nine hundred sixty-one thousand, six hundred ninety-six".