2256312201066 has 320 divisors, whose sum is σ = 6431415572736. Its totient is φ = 574179840000.

The previous prime is 2256312201053. The next prime is 2256312201071. The reversal of 2256312201066 is 6601022136522.

2256312201066 is a `hidden beast` number, since 2 + 2 + 5 + 631 + 2 + 2 + 0 + 10 + 6 + 6 = 666.

It is a super-2 number, since 2×2256312201066² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2256312201066.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 563935066 + ... + 563939066.

Almost surely, 2^{2256312201066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256312201066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215707786368).

2256312201066 is an abundant number, since it is smaller than the sum of its proper divisors (4175103371670).

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

2256312201066 is a wasteful number, since it uses less digits than its factorization.

2256312201066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4939 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 2256312201066 its reverse (6601022136522), we get a palindrome (8857334337588).

The spelling of 2256312201066 in words is "two trillion, two hundred fifty-six billion, three hundred twelve million, two hundred one thousand, sixty-six".