14942882304 has 240 divisors, whose sum is σ = 50493643200. Its totient is φ = 4164894720.

The previous prime is 14942882299. The next prime is 14942882359. The reversal of 14942882304 is 40328824941.

14942882304 is a `hidden beast` number, since 149 + 428 + 82 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14942882304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1316847 + ... + 1328145.

It is an arithmetic number, because the mean of its divisors is an integer number (210390180).

Almost surely, 2^14942882304 is an apocalyptic number.

14942882304 is a gapful number since it is divisible by the number (14) 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 14942882304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246821600).

14942882304 is an abundant number, since it is smaller than the sum of its proper divisors (35550760896).

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

14942882304 is a wasteful number, since it uses less digits than its factorization.

14942882304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11371 (or 11352 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 14942882304 in words is "fourteen billion, nine hundred forty-two million, eight hundred eighty-two thousand, three hundred four".