45742246290 has 640 divisors, whose sum is σ = 147005591040. Its totient is φ = 10102579200.

The previous prime is 45742246289. The next prime is 45742246309. The reversal of 45742246290 is 9264224754.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 319 ways as a sum of consecutive naturals, for example, 644256955 + ... + 644257025.

It is an arithmetic number, because the mean of its divisors is an integer number (229696236).

Almost surely, 2^45742246290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45742246290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73502795520).

45742246290 is an abundant number, since it is smaller than the sum of its proper divisors (101263344750).

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

45742246290 is a wasteful number, since it uses less digits than its factorization.

45742246290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 45742246290 in words is "forty-five billion, seven hundred forty-two million, two hundred forty-six thousand, two hundred ninety".