2045564521056 has 1152 divisors, whose sum is σ = 7669153529856. Its totient is φ = 522577059840.

The previous prime is 2045564521051. The next prime is 2045564521061. The reversal of 2045564521056 is 6501254655402.

2045564521056 is a `hidden beast` number, since 2 + 0 + 4 + 556 + 45 + 2 + 1 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (2045564521051) and next prime (2045564521061).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045564521051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4746089161 + ... + 4746089591.

It is an arithmetic number, because the mean of its divisors is an integer number (6657251328).

Almost surely, 2^{2045564521056} 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 2045564521056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834576764928).

2045564521056 is an abundant number, since it is smaller than the sum of its proper divisors (5623589008800).

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

2045564521056 is a wasteful number, since it uses less digits than its factorization.

2045564521056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 2045564521056 in words is "two trillion, forty-five billion, five hundred sixty-four million, five hundred twenty-one thousand, fifty-six".