45945825072 has 160 divisors (see below), whose sum is σ = 141227008512. Its totient is φ = 12597368832.

The previous prime is 45945825071. The next prime is 45945825077. The reversal of 45945825072 is 27052854954.

It is a super-2 number, since 2×45945825072² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45945825071) 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 31 ways as a sum of consecutive naturals, for example, 882223 + ... + 932849.

Almost surely, 2^45945825072 is an apocalyptic number.

45945825072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45945825072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70613504256).

45945825072 is an abundant number, since it is smaller than the sum of its proper divisors (95281183440).

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

45945825072 is a wasteful number, since it uses less digits than its factorization.

45945825072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50755 (or 50749 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 51.

The spelling of 45945825072 in words is "forty-five billion, nine hundred forty-five million, eight hundred twenty-five thousand, seventy-two".