14728643946 has 96 divisors (see below), whose sum is σ = 34226375040. Its totient is φ = 4568393088.

The previous prime is 14728643899. The next prime is 14728643971. The reversal of 14728643946 is 64934682741.

14728643946 is a `hidden beast` number, since 1 + 472 + 86 + 4 + 3 + 94 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14728643892 and 14728643901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2063035 + ... + 2070161.

It is an arithmetic number, because the mean of its divisors is an integer number (356524740).

Almost surely, 2^14728643946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14728643946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113187520).

14728643946 is an abundant number, since it is smaller than the sum of its proper divisors (19497731094).

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

14728643946 is a wasteful number, since it uses less digits than its factorization.

14728643946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308 (or 7305 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 14728643946 in words is "fourteen billion, seven hundred twenty-eight million, six hundred forty-three thousand, nine hundred forty-six".