2256314605434 has 96 divisors (see below), whose sum is σ = 5189628787200. Its totient is φ = 706486004640.

The previous prime is 2256314605423. The next prime is 2256314605543. The reversal of 2256314605434 is 4345064136522.

2256314605434 is a `hidden beast` number, since 2 + 2 + 5 + 6 + 3 + 1 + 4 + 605 + 4 + 34 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2256314605434.

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 47 ways as a sum of consecutive naturals, for example, 54772257 + ... + 54813435.

It is an arithmetic number, because the mean of its divisors is an integer number (54058633200).

Almost surely, 2^{2256314605434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2256314605434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594814393600).

2256314605434 is an abundant number, since it is smaller than the sum of its proper divisors (2933314181766).

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

2256314605434 is a wasteful number, since it uses less digits than its factorization.

2256314605434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42560 (or 42557 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 2256314605434 in words is "two trillion, two hundred fifty-six billion, three hundred fourteen million, six hundred five thousand, four hundred thirty-four".