13884468480 has 432 divisors, whose sum is σ = 52528379904. Its totient is φ = 3370844160.

The previous prime is 13884468431. The next prime is 13884468509. The reversal of 13884468480 is 8486448831.

13884468480 is a `hidden beast` number, since 138 + 8 + 4 + 468 + 48 + 0 = 666.

It is a super-2 number, since 2×13884468480² (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 47 ways as a sum of consecutive naturals, for example, 6069897 + ... + 6072183.

It is an arithmetic number, because the mean of its divisors is an integer number (121593472).

Almost surely, 2^13884468480 is an apocalyptic number.

13884468480 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 13884468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26264189952).

13884468480 is an abundant number, since it is smaller than the sum of its proper divisors (38643911424).

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

13884468480 is a wasteful number, since it uses less digits than its factorization.

13884468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 13884468480 in words is "thirteen billion, eight hundred eighty-four million, four hundred sixty-eight thousand, four hundred eighty".