13946382672 has 80 divisors (see below), whose sum is σ = 38807420928. Its totient is φ = 4303221120.

The previous prime is 13946382661. The next prime is 13946382689. The reversal of 13946382672 is 27628364931.

13946382672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169528 + ... + 237975.

Almost surely, 2^13946382672 is an apocalyptic number.

13946382672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13946382672 is an abundant number, since it is smaller than the sum of its proper divisors (24861038256).

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

13946382672 is a wasteful number, since it uses less digits than its factorization.

13946382672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407568 (or 407562 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 51.

The spelling of 13946382672 in words is "thirteen billion, nine hundred forty-six million, three hundred eighty-two thousand, six hundred seventy-two".