45713592380592 has 240 divisors, whose sum is σ = 133660435184640. Its totient is φ = 15124495737600.

The previous prime is 45713592380591. The next prime is 45713592380627. The reversal of 45713592380592 is 29508329531754.

45713592380592 is a `hidden beast` number, since 4 + 5 + 7 + 1 + 3 + 5 + 9 + 2 + 38 + 0 + 592 = 666.

45713592380592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45713592380591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2956695742 + ... + 2956711202.

It is an arithmetic number, because the mean of its divisors is an integer number (556918479936).

Almost surely, 2^{45713592380592} 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 45713592380592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830217592320).

45713592380592 is an abundant number, since it is smaller than the sum of its proper divisors (87946842804048).

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

45713592380592 is a wasteful number, since it uses less digits than its factorization.

45713592380592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21094 (or 21076 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 45713592380592 in words is "forty-five trillion, seven hundred thirteen billion, five hundred ninety-two million, three hundred eighty thousand, five hundred ninety-two".