4164000064656 has 160 divisors (see below), whose sum is σ = 11558208798720. Its totient is φ = 1288392095232.

The previous prime is 4164000064649. The next prime is 4164000064657. The reversal of 4164000064656 is 6564600004614.

It is not an unprimeable number, because it can be changed into a prime (4164000064657) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15511705 + ... + 15777863.

It is an arithmetic number, because the mean of its divisors is an integer number (72238804992).

Almost surely, 2^{4164000064656} is an apocalyptic number.

4164000064656 is a gapful number since it is divisible by the number (46) 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 4164000064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779104399360).

4164000064656 is an abundant number, since it is smaller than the sum of its proper divisors (7394208734064).

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

4164000064656 is a wasteful number, since it uses less digits than its factorization.

4164000064656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266613 (or 266607 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 4164000064656 in words is "four trillion, one hundred sixty-four billion, sixty-four thousand, six hundred fifty-six".