45133320350300 has 288 divisors, whose sum is σ = 126282851380224. Its totient is φ = 13608460800000.

The previous prime is 45133320350263. The next prime is 45133320350341. The reversal of 45133320350300 is 305302333154.

It is a super-2 number, since 2×45133320350300² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52104740 + ... + 52963860.

It is an arithmetic number, because the mean of its divisors is an integer number (438482122848).

Almost surely, 2^{45133320350300} 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 45133320350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141425690112).

45133320350300 is an abundant number, since it is smaller than the sum of its proper divisors (81149531029924).

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

45133320350300 is a wasteful number, since it uses less digits than its factorization.

45133320350300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859429 (or 859422 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 32.

Adding to 45133320350300 its reverse (305302333154), we get a palindrome (45438622683454).

The spelling of 45133320350300 in words is "forty-five trillion, one hundred thirty-three billion, three hundred twenty million, three hundred fifty thousand, three hundred".