14914468800 has 504 divisors, whose sum is σ = 66094733952. Its totient is φ = 3098880000.

The previous prime is 14914468799. The next prime is 14914468823. The reversal of 14914468800 is 886441941.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1102075 + ... + 1115525.

Almost surely, 2^14914468800 is an apocalyptic number.

14914468800 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 14914468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33047366976).

14914468800 is an abundant number, since it is smaller than the sum of its proper divisors (51180265152).

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

14914468800 is a wasteful number, since it uses less digits than its factorization.

14914468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13497 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14914468800 in words is "fourteen billion, nine hundred fourteen million, four hundred sixty-eight thousand, eight hundred".