2561343233456 has 80 divisors (see below), whose sum is σ = 5868836275200. Its totient is φ = 1059555458304.

The previous prime is 2561343233453. The next prime is 2561343233467. The reversal of 2561343233456 is 6543323431652.

2561343233456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2561343233456.

It is not an unprimeable number, because it can be changed into a prime (2561343233453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11133965 + ... + 11361683.

It is an arithmetic number, because the mean of its divisors is an integer number (73360453440).

Almost surely, 2^{2561343233456} 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 2561343233456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2934418137600).

2561343233456 is an abundant number, since it is smaller than the sum of its proper divisors (3307493041744).

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

2561343233456 is a wasteful number, since it uses less digits than its factorization.

2561343233456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231226 (or 231220 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 47.

The spelling of 2561343233456 in words is "two trillion, five hundred sixty-one billion, three hundred forty-three million, two hundred thirty-three thousand, four hundred fifty-six".