13872699648 has 108 divisors (see below), whose sum is σ = 40974263148. Its totient is φ = 4511416320.

The previous prime is 13872699641. The next prime is 13872699649. The reversal of 13872699648 is 84699627831.

It can be written as a sum of positive squares in 2 ways, for example, as 4985489664 + 8887209984 = 70608^2 + 94272^2 .

It is not an unprimeable number, because it can be changed into a prime (13872699641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 21036 + ... + 167892.

Almost surely, 2^13872699648 is an apocalyptic number.

13872699648 is a gapful number since it is divisible by the number (18) 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 13872699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20487131574).

13872699648 is an abundant number, since it is smaller than the sum of its proper divisors (27101563500).

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

13872699648 is a wasteful number, since it uses less digits than its factorization.

13872699648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146920 (or 146903 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 13872699648 in words is "thirteen billion, eight hundred seventy-two million, six hundred ninety-nine thousand, six hundred forty-eight".