13881735072 has 48 divisors (see below), whose sum is σ = 40488396480. Its totient is φ = 4627244736.

The previous prime is 13881735053. The next prime is 13881735083. The reversal of 13881735072 is 27053718831.

13881735072 is a `hidden beast` number, since 138 + 8 + 1 + 7 + 3 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8032548 + ... + 8034275.

It is an arithmetic number, because the mean of its divisors is an integer number (843508260).

Almost surely, 2^13881735072 is an apocalyptic number.

13881735072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13881735072 is an abundant number, since it is smaller than the sum of its proper divisors (26606661408).

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

13881735072 is a wasteful number, since it uses less digits than its factorization.

13881735072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16066842 (or 16066828 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

It can be divided in two parts, 138817 and 35072, that added together give a square (173889 = 417²).

The spelling of 13881735072 in words is "thirteen billion, eight hundred eighty-one million, seven hundred thirty-five thousand, seventy-two".