45742824764 has 144 divisors (see below), whose sum is σ = 104943154176. Its totient is φ = 17259580800.

The previous prime is 45742824763. The next prime is 45742824779. The reversal of 45742824764 is 46742824754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45742824763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25257419 + ... + 25259229.

It is an arithmetic number, because the mean of its divisors is an integer number (728771904).

Almost surely, 2^45742824764 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 45742824764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52471577088).

45742824764 is an abundant number, since it is smaller than the sum of its proper divisors (59200329412).

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

45742824764 is a wasteful number, since it uses less digits than its factorization.

45742824764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2287 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 53.

The spelling of 45742824764 in words is "forty-five billion, seven hundred forty-two million, eight hundred twenty-four thousand, seven hundred sixty-four".