2246444456256 has 1568 divisors, whose sum is σ = 9080344885248. Its totient is φ = 532236718080.

The previous prime is 2246444456209. The next prime is 2246444456257. The reversal of 2246444456256 is 6526544446422.

2246444456256 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 4 + 4 + 4 + 4 + 5 + 625 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246444456257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4810373335 + ... + 4810373801.

Almost surely, 2^{2246444456256} is an apocalyptic number.

2246444456256 is a gapful number since it is divisible by the number (26) 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 2246444456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540172442624).

2246444456256 is an abundant number, since it is smaller than the sum of its proper divisors (6833900428992).

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

2246444456256 is a wasteful number, since it uses less digits than its factorization.

2246444456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 606 counting only the distinct ones).

The product of its digits is 44236800, while the sum is 54.

The spelling of 2246444456256 in words is "two trillion, two hundred forty-six billion, four hundred forty-four million, four hundred fifty-six thousand, two hundred fifty-six".