13963149984 has 192 divisors, whose sum is σ = 43321824000. Its totient is φ = 3854573568.

The previous prime is 13963149929. The next prime is 13963150007. The reversal of 13963149984 is 48994136931.

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, 3702852 + ... + 3706620.

It is an arithmetic number, because the mean of its divisors is an integer number (225634500).

Almost surely, 2^13963149984 is an apocalyptic number.

13963149984 is a gapful number since it is divisible by the number (14) 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 13963149984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660912000).

13963149984 is an abundant number, since it is smaller than the sum of its proper divisors (29358674016).

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

13963149984 is a wasteful number, since it uses less digits than its factorization.

13963149984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3967 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 57.

The spelling of 13963149984 in words is "thirteen billion, nine hundred sixty-three million, one hundred forty-nine thousand, nine hundred eighty-four".