14884668000 has 384 divisors, whose sum is σ = 54483287040. Its totient is φ = 3947097600.

The previous prime is 14884667999. The next prime is 14884668013. The reversal of 14884668000 is 86648841.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30563757 + ... + 30564243.

It is an arithmetic number, because the mean of its divisors is an integer number (141883560).

Almost surely, 2^14884668000 is an apocalyptic number.

14884668000 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 14884668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241643520).

14884668000 is an abundant number, since it is smaller than the sum of its proper divisors (39598619040).

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

14884668000 is a wasteful number, since it uses less digits than its factorization.

14884668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 14884668000 in words is "fourteen billion, eight hundred eighty-four million, six hundred sixty-eight thousand".