14464800000 has 972 divisors, whose sum is σ = 62118453852. Its totient is φ = 3225600000.

The previous prime is 14464799989. The next prime is 14464800011. The reversal of 14464800000 is 846441.

14464800000 is a `hidden beast` number, since 14 + 4 + 648 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14464799989) and next prime (14464800011).

It can be written as a sum of positive squares in 6 ways, for example, as 14147675136 + 317124864 = 118944^2 + 17808^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 352799980 + ... + 352800020.

Almost surely, 2^14464800000 is an apocalyptic number.

14464800000 is a gapful number since it is divisible by the number (10) 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 14464800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31059226926).

14464800000 is an abundant number, since it is smaller than the sum of its proper divisors (47653653852).

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

14464800000 is an frugal number, since it uses more digits than its factorization.

14464800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 14464800000 in words is "fourteen billion, four hundred sixty-four million, eight hundred thousand".