14179016736 has 192 divisors, whose sum is σ = 44040931200. Its totient is φ = 4422647808.

The previous prime is 14179016713. The next prime is 14179016773. The reversal of 14179016736 is 63761097141.

It is a junction number, because it is equal to n+sod(n) for n = 14179016691 and 14179016700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2626456 + ... + 2631848.

It is an arithmetic number, because the mean of its divisors is an integer number (229379850).

Almost surely, 2^14179016736 is an apocalyptic number.

14179016736 is a gapful number since it is divisible by the number (16) 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 14179016736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22020465600).

14179016736 is an abundant number, since it is smaller than the sum of its proper divisors (29861914464).

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

14179016736 is a wasteful number, since it uses less digits than its factorization.

14179016736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 14179016736 in words is "fourteen billion, one hundred seventy-nine million, sixteen thousand, seven hundred thirty-six".