13724920016 has 20 divisors (see below), whose sum is σ = 27509000100. Its totient is φ = 6625823232.

The previous prime is 13724920007. The next prime is 13724920031. The reversal of 13724920016 is 61002942731.

It can be written as a sum of positive squares in 2 ways, for example, as 2480438416 + 11244481600 = 49804^2 + 106040^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14789321 + ... + 14790248.

It is an arithmetic number, because the mean of its divisors is an integer number (1375450005).

Almost surely, 2^13724920016 is an apocalyptic number.

13724920016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13724920016 is an abundant number, since it is smaller than the sum of its proper divisors (13784080084).

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

13724920016 is a wasteful number, since it uses less digits than its factorization.

13724920016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29579606 (or 29579600 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 13724920016 in words is "thirteen billion, seven hundred twenty-four million, nine hundred twenty thousand, sixteen".