45263683584 has 408 divisors, whose sum is σ = 157578799040. Its totient is φ = 12230590464.

The previous prime is 45263683573. The next prime is 45263683607. The reversal of 45263683584 is 48538636254.

45263683584 is a `hidden beast` number, since 4 + 5 + 26 + 36 + 8 + 3 + 584 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45263683584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78446304 + ... + 78446880.

Almost surely, 2^45263683584 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 45263683584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78789399520).

45263683584 is an abundant number, since it is smaller than the sum of its proper divisors (112315115456).

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

45263683584 is an equidigital number, since it uses as much as digits as its factorization.

45263683584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 608 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 45263683584 in words is "forty-five billion, two hundred sixty-three million, six hundred eighty-three thousand, five hundred eighty-four".