14625484800 has 156 divisors (see below), whose sum is σ = 48356715240. Its totient is φ = 3900047360.

The previous prime is 14625484799. The next prime is 14625484817. The reversal of 14625484800 is 848452641.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283396 + ... + 331004.

Almost surely, 2^14625484800 is an apocalyptic number.

14625484800 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 14625484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178357620).

14625484800 is an abundant number, since it is smaller than the sum of its proper divisors (33731230440).

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

14625484800 is an equidigital number, since it uses as much as digits as its factorization.

14625484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47646 (or 47619 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 14625484800 in words is "fourteen billion, six hundred twenty-five million, four hundred eighty-four thousand, eight hundred".