13672746086544 has 120 divisors (see below), whose sum is σ = 38382710180672. Its totient is φ = 4543535980800.

The previous prime is 13672746086509. The next prime is 13672746086551. The reversal of 13672746086544 is 44568064727631.

13672746086544 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 2 + 7 + 4 + 6 + 0 + 86 + 544 = 666.

13672746086544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136969419 + ... + 137069205.

Almost surely, 2^{13672746086544} 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 13672746086544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191355090336).

13672746086544 is an abundant number, since it is smaller than the sum of its proper divisors (24709964094128).

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

13672746086544 is a wasteful number, since it uses less digits than its factorization.

13672746086544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102725 (or 102716 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 13672746086544 in words is "thirteen trillion, six hundred seventy-two billion, seven hundred forty-six million, eighty-six thousand, five hundred forty-four".