4056456684966 has 64 divisors (see below), whose sum is σ = 9631820491776. Its totient is φ = 1114793971200.

The previous prime is 4056456684901. The next prime is 4056456685003. The reversal of 4056456684966 is 6694866546504.

It is a super-3 number, since 3×4056456684966³ (a number of 39 digits) contains 333 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4056456684966.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16466935 + ... + 16711458.

It is an arithmetic number, because the mean of its divisors is an integer number (150497195184).

Almost surely, 2^{4056456684966} is an apocalyptic number.

4056456684966 is an abundant number, since it is smaller than the sum of its proper divisors (5575363806810).

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

4056456684966 is a wasteful number, since it uses less digits than its factorization.

4056456684966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33178517.

The product of its (nonzero) digits is 895795200, while the sum is 69.

The spelling of 4056456684966 in words is "four trillion, fifty-six billion, four hundred fifty-six million, six hundred eighty-four thousand, nine hundred sixty-six".