45065839104 has 960 divisors, whose sum is σ = 168907939200. Its totient is φ = 11784683520.

The previous prime is 45065839031. The next prime is 45065839141. The reversal of 45065839104 is 40193856054.

45065839104 is a `hidden beast` number, since 4 + 50 + 6 + 583 + 9 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45065839104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 302455222 + ... + 302455370.

It is an arithmetic number, because the mean of its divisors is an integer number (175945770).

Almost surely, 2^45065839104 is an apocalyptic number.

45065839104 is a gapful number since it is divisible by the number (44) 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 45065839104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84453969600).

45065839104 is an abundant number, since it is smaller than the sum of its proper divisors (123842100096).

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

45065839104 is a wasteful number, since it uses less digits than its factorization.

45065839104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45065839104 in words is "forty-five billion, sixty-five million, eight hundred thirty-nine thousand, one hundred four".