14941200384 has 560 divisors, whose sum is σ = 51382330560. Its totient is φ = 4282122240.

The previous prime is 14941200383. The next prime is 14941200413. The reversal of 14941200384 is 48300214941.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (14941200383) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 167878612 + ... + 167878700.

Almost surely, 2^14941200384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14941200384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25691165280).

14941200384 is an abundant number, since it is smaller than the sum of its proper divisors (36441130176).

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

14941200384 is an equidigital number, since it uses as much as digits as its factorization.

14941200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14941200384 in words is "fourteen billion, nine hundred forty-one million, two hundred thousand, three hundred eighty-four".