14882472000 has 1344 divisors, whose sum is σ = 65274992640. Its totient is φ = 3193344000.

The previous prime is 14882471987. The next prime is 14882472047. The reversal of 14882472000 is 27428841.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346103979 + ... + 346104021.

Almost surely, 2^14882472000 is an apocalyptic number.

14882472000 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 14882472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637496320).

14882472000 is an abundant number, since it is smaller than the sum of its proper divisors (50392520640).

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

14882472000 is a wasteful number, since it uses less digits than its factorization.

14882472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 14882472000 in words is "fourteen billion, eight hundred eighty-two million, four hundred seventy-two thousand".