45444052242 has 80 divisors (see below), whose sum is σ = 102674753280. Its totient is φ = 15022651392.

The previous prime is 45444052219. The next prime is 45444052249. The reversal of 45444052242 is 24225044454.

45444052242 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 405 + 2 + 242 = 666.

It is a super-3 number, since 3×45444052242³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45444052197 and 45444052206.

It is not an unprimeable number, because it can be changed into a prime (45444052249) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9948243 + ... + 9952809.

It is an arithmetic number, because the mean of its divisors is an integer number (1283434416).

Almost surely, 2^45444052242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45444052242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51337376640).

45444052242 is an abundant number, since it is smaller than the sum of its proper divisors (57230701038).

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

45444052242 is a wasteful number, since it uses less digits than its factorization.

45444052242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 36.

Adding to 45444052242 its reverse (24225044454), we get a palindrome (69669096696).

The spelling of 45444052242 in words is "forty-five billion, four hundred forty-four million, fifty-two thousand, two hundred forty-two".