45512005204200 has 96 divisors (see below), whose sum is σ = 145952292607200. Its totient is φ = 11718033519360.

The previous prime is 45512005204129. The next prime is 45512005204207. The reversal of 45512005204200 is 240250021554.

45512005204200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45512005204207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1307798842 + ... + 1307833641.

It is an arithmetic number, because the mean of its divisors is an integer number (1520336381325).

Almost surely, 2^{45512005204200} is an apocalyptic number.

45512005204200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45512005204200 is an abundant number, since it is smaller than the sum of its proper divisors (100440287403000).

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

45512005204200 is a wasteful number, since it uses less digits than its factorization.

45512005204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615632531 (or 2615632522 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

Adding to 45512005204200 its reverse (240250021554), we get a palindrome (45752255225754).

The spelling of 45512005204200 in words is "forty-five trillion, five hundred twelve billion, five million, two hundred four thousand, two hundred".