45461122434 has 192 divisors, whose sum is σ = 123890457600. Its totient is φ = 11729442816.

The previous prime is 45461122433. The next prime is 45461122453. The reversal of 45461122434 is 43422116454.

45461122434 is a `hidden beast` number, since 4 + 5 + 4 + 611 + 2 + 2 + 4 + 34 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45461122433) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 14620872 + ... + 14623980.

It is an arithmetic number, because the mean of its divisors is an integer number (645262800).

Almost surely, 2^45461122434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45461122434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61945228800).

45461122434 is an abundant number, since it is smaller than the sum of its proper divisors (78429335166).

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

45461122434 is a wasteful number, since it uses less digits than its factorization.

45461122434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3329 (or 3326 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 45461122434 its reverse (43422116454), we get a palindrome (88883238888).

The spelling of 45461122434 in words is "forty-five billion, four hundred sixty-one million, one hundred twenty-two thousand, four hundred thirty-four".