45115791136 has 72 divisors (see below), whose sum is σ = 96248011860. Its totient is φ = 20807894016.

The previous prime is 45115791121. The next prime is 45115791163. The reversal of 45115791136 is 63119751154.

It can be written as a sum of positive squares in 6 ways, for example, as 1726901136 + 43388890000 = 41556^2 + 208300^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45115791092 and 45115791101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12485266 + ... + 12488878.

Almost surely, 2^45115791136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45115791136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48124005930).

45115791136 is an abundant number, since it is smaller than the sum of its proper divisors (51132220724).

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

45115791136 is a wasteful number, since it uses less digits than its factorization.

45115791136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5937 counting only the distinct ones).

The product of its digits is 113400, while the sum is 43.

The spelling of 45115791136 in words is "forty-five billion, one hundred fifteen million, seven hundred ninety-one thousand, one hundred thirty-six".