14443680672 has 96 divisors (see below), whose sum is σ = 42341745600. Its totient is φ = 4790064384.

The previous prime is 14443680659. The next prime is 14443680689. The reversal of 14443680672 is 27608634441.

14443680672 is a `hidden beast` number, since 144 + 436 + 8 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14443680672² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127779 + ... + 212637.

It is an arithmetic number, because the mean of its divisors is an integer number (441059850).

Almost surely, 2^14443680672 is an apocalyptic number.

14443680672 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 14443680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21170872800).

14443680672 is an abundant number, since it is smaller than the sum of its proper divisors (27898064928).

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

14443680672 is a wasteful number, since it uses less digits than its factorization.

14443680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85075 (or 85061 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 14443680672 in words is "fourteen billion, four hundred forty-three million, six hundred eighty thousand, six hundred seventy-two".