45606413125 has 60 divisors (see below), whose sum is σ = 71394405852. Its totient is φ = 28867104000.

The previous prime is 45606413119. The next prime is 45606413129. The reversal of 45606413125 is 52131460654.

45606413125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 45543401281 + 63011844 = 213409^2 + 7938^2 .

It is not a de Polignac number, because 45606413125 - 2⁵ = 45606413093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45606413129) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 340849 + ... + 455401.

Almost surely, 2^45606413125 is an apocalyptic number.

It is an amenable number.

45606413125 is a deficient number, since it is larger than the sum of its proper divisors (25787992727).

45606413125 is a wasteful number, since it uses less digits than its factorization.

45606413125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114600 (or 114578 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 45606413125 its reverse (52131460654), we get a palindrome (97737873779).

The spelling of 45606413125 in words is "forty-five billion, six hundred six million, four hundred thirteen thousand, one hundred twenty-five".