45820845056 has 176 divisors, whose sum is σ = 113756866560. Its totient is φ = 18002165760.

The previous prime is 45820845053. The next prime is 45820845071. The reversal of 45820845056 is 65054802854.

It is a self number, because there is not a number n which added to its sum of digits gives 45820845056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45820845053) 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 15 ways as a sum of consecutive naturals, for example, 4216526 + ... + 4227378.

Almost surely, 2^45820845056 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 45820845056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56878433280).

45820845056 is an abundant number, since it is smaller than the sum of its proper divisors (67936021504).

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

45820845056 is a wasteful number, since it uses less digits than its factorization.

45820845056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10930 (or 10912 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 47.

The spelling of 45820845056 in words is "forty-five billion, eight hundred twenty million, eight hundred forty-five thousand, fifty-six".