13672485648 has 60 divisors (see below), whose sum is σ = 38299419340. Its totient is φ = 4553273088.

The previous prime is 13672485623. The next prime is 13672485683. The reversal of 13672485648 is 84658427631.

It is a happy number.

13672485648 is a `hidden beast` number, since 1 + 3 + 6 + 72 + 4 + 8 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10102662144 + 3569823504 = 100512^2 + 59748^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13672485594 and 13672485603.

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, 113958 + ... + 200826.

Almost surely, 2^13672485648 is an apocalyptic number.

13672485648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13672485648 is an abundant number, since it is smaller than the sum of its proper divisors (24626933692).

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

13672485648 is a wasteful number, since it uses less digits than its factorization.

13672485648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87976 (or 87967 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 13672485648 in words is "thirteen billion, six hundred seventy-two million, four hundred eighty-five thousand, six hundred forty-eight".