13882228320 has 192 divisors, whose sum is σ = 45869193216. Its totient is φ = 3525027840.

The previous prime is 13882228319. The next prime is 13882228331. The reversal of 13882228320 is 2382228831.

It is a super-2 number, since 2×13882228320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 826405 + ... + 843035.

It is an arithmetic number, because the mean of its divisors is an integer number (238902048).

Almost surely, 2^13882228320 is an apocalyptic number.

13882228320 is a gapful number since it is divisible by the number (10) 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 13882228320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22934596608).

13882228320 is an abundant number, since it is smaller than the sum of its proper divisors (31986964896).

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

13882228320 is a wasteful number, since it uses less digits than its factorization.

13882228320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16733 (or 16725 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 13882228320 in words is "thirteen billion, eight hundred eighty-two million, two hundred twenty-eight thousand, three hundred twenty".