13880944224 has 432 divisors, whose sum is σ = 47654753328. Its totient is φ = 3819239424.

The previous prime is 13880944223. The next prime is 13880944229. The reversal of 13880944224 is 42244908831.

13880944224 is a `hidden beast` number, since 1 + 388 + 0 + 9 + 44 + 224 = 666.

It is a super-2 number, since 2×13880944224² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13880944224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13880944223) 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, 50111574 + ... + 50111850.

It is an arithmetic number, because the mean of its divisors is an integer number (110311929).

Almost surely, 2^13880944224 is an apocalyptic number.

13880944224 is a gapful number since it is divisible by the number (14) 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 13880944224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23827376664).

13880944224 is an abundant number, since it is smaller than the sum of its proper divisors (33773809104).

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

13880944224 is a wasteful number, since it uses less digits than its factorization.

13880944224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13880944224 in words is "thirteen billion, eight hundred eighty million, nine hundred forty-four thousand, two hundred twenty-four".