45125834832 has 140 divisors (see below), whose sum is σ = 141171079924. Its totient is φ = 13884825600.

The previous prime is 45125834783. The next prime is 45125834839. The reversal of 45125834832 is 23843852154.

45125834832 is a `hidden beast` number, since 4 + 51 + 258 + 348 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29376588816 + 15749246016 = 171396^2 + 125496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45125834839) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2832 + ... + 300432.

Almost surely, 2^45125834832 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 45125834832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70585539962).

45125834832 is an abundant number, since it is smaller than the sum of its proper divisors (96045245092).

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

45125834832 is a wasteful number, since it uses less digits than its factorization.

45125834832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297640 (or 297619 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 45125834832 in words is "forty-five billion, one hundred twenty-five million, eight hundred thirty-four thousand, eight hundred thirty-two".