13731984000 has 1024 divisors, whose sum is σ = 61102080000. Its totient is φ = 2961100800.

The previous prime is 13731983939. The next prime is 13731984017. The reversal of 13731984000 is 48913731.

It is a happy number.

13731984000 is a `hidden beast` number, since 137 + 31 + 98 + 400 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57455881 + ... + 57456119.

It is an arithmetic number, because the mean of its divisors is an integer number (59670000).

Almost surely, 2^13731984000 is an apocalyptic number.

13731984000 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 13731984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040000).

13731984000 is an abundant number, since it is smaller than the sum of its proper divisors (47370096000).

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

13731984000 is a wasteful number, since it uses less digits than its factorization.

13731984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13731984000 in words is "thirteen billion, seven hundred thirty-one million, nine hundred eighty-four thousand".