45789866820 has 144 divisors (see below), whose sum is σ = 142568702640. Its totient is φ = 11888947200.

The previous prime is 45789866807. The next prime is 45789866827. The reversal of 45789866820 is 2866898754.

45789866820 is a `hidden beast` number, since 457 + 89 + 86 + 6 + 8 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12362326596 + 33427540224 = 111186^2 + 182832^2 .

It is not an unprimeable number, because it can be changed into a prime (45789866827) 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 47 ways as a sum of consecutive naturals, for example, 3839026 + ... + 3850934.

It is an arithmetic number, because the mean of its divisors is an integer number (990060435).

Almost surely, 2^45789866820 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 45789866820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71284351320).

45789866820 is an abundant number, since it is smaller than the sum of its proper divisors (96778835820).

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

45789866820 is a wasteful number, since it uses less digits than its factorization.

45789866820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12486 (or 12481 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 45789866820 in words is "forty-five billion, seven hundred eighty-nine million, eight hundred sixty-six thousand, eight hundred twenty".