14666820256 has 48 divisors (see below), whose sum is σ = 31789406880. Its totient is φ = 6605556480.

The previous prime is 14666820241. The next prime is 14666820269. The reversal of 14666820256 is 65202866641.

14666820256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×14666820256⁴ (a number of 42 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152766 + ... + 229501.

It is an arithmetic number, because the mean of its divisors is an integer number (662279310).

Almost surely, 2^14666820256 is an apocalyptic number.

14666820256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14666820256 is an abundant number, since it is smaller than the sum of its proper divisors (17122586624).

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

14666820256 is a wasteful number, since it uses less digits than its factorization.

14666820256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382397 (or 382389 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 14666820256 in words is "fourteen billion, six hundred sixty-six million, eight hundred twenty thousand, two hundred fifty-six".