14496319872 has 160 divisors (see below), whose sum is σ = 43221190320. Its totient is φ = 4823110656.

The previous prime is 14496319811. The next prime is 14496319889. The reversal of 14496319872 is 27891369441.

14496319872 is a `hidden beast` number, since 1 + 449 + 6 + 3 + 198 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7847653 + ... + 7849499.

Almost surely, 2^14496319872 is an apocalyptic number.

14496319872 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 14496319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21610595160).

14496319872 is an abundant number, since it is smaller than the sum of its proper divisors (28724870448).

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

14496319872 is an equidigital number, since it uses as much as digits as its factorization.

14496319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630 (or 2609 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 14496319872 in words is "fourteen billion, four hundred ninety-six million, three hundred nineteen thousand, eight hundred seventy-two".