14011981984 has 648 divisors, whose sum is σ = 41952647520. Its totient is φ = 4566481920.

The previous prime is 14011981981. The next prime is 14011981993. The reversal of 14011981984 is 48918911041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (14011981981) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 609216597 + ... + 609216619.

It is an arithmetic number, because the mean of its divisors is an integer number (64741740).

Almost surely, 2^14011981984 is an apocalyptic number.

14011981984 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 14011981984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976323760).

14011981984 is an abundant number, since it is smaller than the sum of its proper divisors (27940665536).

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

14011981984 is a wasteful number, since it uses less digits than its factorization.

14011981984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 46.

The spelling of 14011981984 in words is "fourteen billion, eleven million, nine hundred eighty-one thousand, nine hundred eighty-four".