13872627648 has 280 divisors, whose sum is σ = 45543362304. Its totient is φ = 4139942400.

The previous prime is 13872627641. The next prime is 13872627673. The reversal of 13872627648 is 84672627831.

13872627648 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 2 + 627 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13872627594 and 13872627603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13872627641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3818793 + ... + 3822423.

Almost surely, 2^13872627648 is an apocalyptic number.

13872627648 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 13872627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771681152).

13872627648 is an abundant number, since it is smaller than the sum of its proper divisors (31670734656).

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

13872627648 is a wasteful number, since it uses less digits than its factorization.

13872627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3714 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 13872627648 in words is "thirteen billion, eight hundred seventy-two million, six hundred twenty-seven thousand, six hundred forty-eight".