13981144320 has 1440 divisors, whose sum is σ = 62824253184. Its totient is φ = 2919628800.

The previous prime is 13981144291. The next prime is 13981144339. The reversal of 13981144320 is 2344118931.

13981144320 is a `hidden beast` number, since 139 + 81 + 1 + 443 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 341003500 + ... + 341003540.

Almost surely, 2^13981144320 is an apocalyptic number.

13981144320 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 13981144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31412126592).

13981144320 is an abundant number, since it is smaller than the sum of its proper divisors (48843108864).

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

13981144320 is a wasteful number, since it uses less digits than its factorization.

13981144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13981144320 in words is "thirteen billion, nine hundred eighty-one million, one hundred forty-four thousand, three hundred twenty".