14977872000 has 1280 divisors, whose sum is σ = 69004615680. Its totient is φ = 3135283200.

The previous prime is 14977871971. The next prime is 14977872097. The reversal of 14977872000 is 27877941.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117935937 + ... + 117936063.

It is an arithmetic number, because the mean of its divisors is an integer number (53909856).

Almost surely, 2^14977872000 is an apocalyptic number.

14977872000 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 14977872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34502307840).

14977872000 is an abundant number, since it is smaller than the sum of its proper divisors (54026743680).

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

14977872000 is a wasteful number, since it uses less digits than its factorization.

14977872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The spelling of 14977872000 in words is "fourteen billion, nine hundred seventy-seven million, eight hundred seventy-two thousand".