14949328896 has 672 divisors, whose sum is σ = 51561619200. Its totient is φ = 4299816960.

The previous prime is 14949328861. The next prime is 14949328903. The reversal of 14949328896 is 69882394941.

14949328896 is a `hidden beast` number, since 1 + 49 + 493 + 28 + 89 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (26873856) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 482236401 + ... + 482236431.

It is an arithmetic number, because the mean of its divisors is an integer number (76728600).

Almost surely, 2^14949328896 is an apocalyptic number.

14949328896 is a gapful number since it is divisible by the number (16) 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 14949328896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25780809600).

14949328896 is an abundant number, since it is smaller than the sum of its proper divisors (36612290304).

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

14949328896 is an equidigital number, since it uses as much as digits as its factorization.

14949328896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 14949328896 in words is "fourteen billion, nine hundred forty-nine million, three hundred twenty-eight thousand, eight hundred ninety-six".