45504225350120 has 128 divisors (see below), whose sum is σ = 109329028300800. Its totient is φ = 17004104941824.

The previous prime is 45504225350117. The next prime is 45504225350149. The reversal of 45504225350120 is 2105352240554.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620224559 + ... + 620297921.

It is an arithmetic number, because the mean of its divisors is an integer number (854133033600).

Almost surely, 2^{45504225350120} is an apocalyptic number.

45504225350120 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 45504225350120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54664514150400).

45504225350120 is an abundant number, since it is smaller than the sum of its proper divisors (63824802950680).

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

45504225350120 is a wasteful number, since it uses less digits than its factorization.

45504225350120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89119 (or 89115 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 38.

Adding to 45504225350120 its reverse (2105352240554), we get a palindrome (47609577590674).

The spelling of 45504225350120 in words is "forty-five trillion, five hundred four billion, two hundred twenty-five million, three hundred fifty thousand, one hundred twenty".