13872702816 has 432 divisors, whose sum is σ = 49691625984. Its totient is φ = 3788902656.

The previous prime is 13872702791. The next prime is 13872702817. The reversal of 13872702816 is 61820727831.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872702817) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8762761 + ... + 8764343.

It is an arithmetic number, because the mean of its divisors is an integer number (115026912).

Almost surely, 2^13872702816 is an apocalyptic number.

13872702816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13872702816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24845812992).

13872702816 is an abundant number, since it is smaller than the sum of its proper divisors (35818923168).

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

13872702816 is a wasteful number, since it uses less digits than its factorization.

13872702816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 13872702816 in words is "thirteen billion, eight hundred seventy-two million, seven hundred two thousand, eight hundred sixteen".