45031325200 has 120 divisors (see below), whose sum is σ = 110256068160. Its totient is φ = 17669491200.

The previous prime is 45031325153. The next prime is 45031325201. The reversal of 45031325200 is 252313054.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45031325201) 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 23 ways as a sum of consecutive naturals, for example, 12765837 + ... + 12769363.

It is an arithmetic number, because the mean of its divisors is an integer number (918800568).

Almost surely, 2^45031325200 is an apocalyptic number.

45031325200 is a gapful number since it is divisible by the number (40) 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 45031325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55128034080).

45031325200 is an abundant number, since it is smaller than the sum of its proper divisors (65224742960).

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

45031325200 is a wasteful number, since it uses less digits than its factorization.

45031325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4134 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 45031325200 its reverse (252313054), we get a palindrome (45283638254).

The spelling of 45031325200 in words is "forty-five billion, thirty-one million, three hundred twenty-five thousand, two hundred".