45517071720300 has 144 divisors (see below), whose sum is σ = 138643461667200. Its totient is φ = 11497720089600.

The previous prime is 45517071720293. The next prime is 45517071720311. The reversal of 45517071720300 is 302717071554.

45517071720300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 49309396 + ... + 50224004.

Almost surely, 2^{45517071720300} 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 45517071720300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69321730833600).

45517071720300 is an abundant number, since it is smaller than the sum of its proper divisors (93126389946900).

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

45517071720300 is a wasteful number, since it uses less digits than its factorization.

45517071720300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923376 (or 923369 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

Adding to 45517071720300 its reverse (302717071554), we get a palindrome (45819788791854).

The spelling of 45517071720300 in words is "forty-five trillion, five hundred seventeen billion, seventy-one million, seven hundred twenty thousand, three hundred".