14875468800 has 264 divisors, whose sum is σ = 50867131200. Its totient is φ = 3829432320.

The previous prime is 14875468763. The next prime is 14875468831. The reversal of 14875468800 is 886457841.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2223861 + ... + 2230539.

Almost surely, 2^14875468800 is an apocalyptic number.

14875468800 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 14875468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25433565600).

14875468800 is an abundant number, since it is smaller than the sum of its proper divisors (35991662400).

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

14875468800 is a wasteful number, since it uses less digits than its factorization.

14875468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6741 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 14875468800 in words is "fourteen billion, eight hundred seventy-five million, four hundred sixty-eight thousand, eight hundred".