45131444010 has 96 divisors (see below), whose sum is σ = 121462370640. Its totient is φ = 11612934144.

The previous prime is 45131443999. The next prime is 45131444069. The reversal of 45131444010 is 1044413154.

45131444010 is a `hidden beast` number, since 4 + 513 + 144 + 4 + 0 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24455017161 + 20676426849 = 156381^2 + 143793^2 .

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5260084 + ... + 5268656.

Almost surely, 2^45131444010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45131444010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60731185320).

45131444010 is an abundant number, since it is smaller than the sum of its proper divisors (76330926630).

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

45131444010 is a wasteful number, since it uses less digits than its factorization.

45131444010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10632 (or 10629 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 45131444010 its reverse (1044413154), we get a palindrome (46175857164).

It can be divided in two parts, 4513144 and 4010, that added together give a palindrome (4517154).

The spelling of 45131444010 in words is "forty-five billion, one hundred thirty-one million, four hundred forty-four thousand, ten".