2256168392712 has 192 divisors, whose sum is σ = 6876846587520. Its totient is φ = 663031885824.

The previous prime is 2256168392707. The next prime is 2256168392729. The reversal of 2256168392712 is 2172938616522.

2256168392712 is a `hidden beast` number, since 2 + 2 + 5 + 616 + 8 + 3 + 9 + 2 + 7 + 12 = 666.

It is a super-4 number, since 4×2256168392712⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14410483 + ... + 14566205.

It is an arithmetic number, because the mean of its divisors is an integer number (35816909310).

Almost surely, 2^{2256168392712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256168392712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438423293760).

2256168392712 is an abundant number, since it is smaller than the sum of its proper divisors (4620678194808).

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

2256168392712 is a wasteful number, since it uses less digits than its factorization.

2256168392712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156444 (or 156437 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 2256168392712 in words is "two trillion, two hundred fifty-six billion, one hundred sixty-eight million, three hundred ninety-two thousand, seven hundred twelve".