14002716672 has 768 divisors, whose sum is σ = 53791128000. Its totient is φ = 3567255552.

The previous prime is 14002716667. The next prime is 14002716731. The reversal of 14002716672 is 27661720041.

14002716672 is a `hidden beast` number, since 1 + 400 + 27 + 166 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736985079 + ... + 736985097.

Almost surely, 2^14002716672 is an apocalyptic number.

14002716672 is a gapful number since it is divisible by the number (12) 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 14002716672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26895564000).

14002716672 is an abundant number, since it is smaller than the sum of its proper divisors (39788411328).

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

14002716672 is an equidigital number, since it uses as much as digits as its factorization.

14002716672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 14002716672 in words is "fourteen billion, two million, seven hundred sixteen thousand, six hundred seventy-two".