13984346880 has 648 divisors, whose sum is σ = 59134604256. Its totient is φ = 2978611200.

The previous prime is 13984346869. The next prime is 13984346933. The reversal of 13984346880 is 8864348931.

13984346880 is a `hidden beast` number, since 13 + 98 + 4 + 3 + 468 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 138458830 + ... + 138458930.

Almost surely, 2^13984346880 is an apocalyptic number.

13984346880 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 13984346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29567302128).

13984346880 is an abundant number, since it is smaller than the sum of its proper divisors (45150257376).

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

13984346880 is a wasteful number, since it uses less digits than its factorization.

13984346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 13984346880 in words is "thirteen billion, nine hundred eighty-four million, three hundred forty-six thousand, eight hundred eighty".