14729193984 has 160 divisors (see below), whose sum is σ = 41435919360. Its totient is φ = 4636569600.

The previous prime is 14729193943. The next prime is 14729193991. The reversal of 14729193984 is 48939192741.

14729193984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12577719 + ... + 12578889.

It is an arithmetic number, because the mean of its divisors is an integer number (258974496).

Almost surely, 2^14729193984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14729193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20717959680).

14729193984 is an abundant number, since it is smaller than the sum of its proper divisors (26706725376).

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

14729193984 is a wasteful number, since it uses less digits than its factorization.

14729193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1626 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 57.

The spelling of 14729193984 in words is "fourteen billion, seven hundred twenty-nine million, one hundred ninety-three thousand, nine hundred eighty-four".