45032153202300 has 288 divisors, whose sum is σ = 147138706520064. Its totient is φ = 10534791168000.

The previous prime is 45032153202263. The next prime is 45032153202347. The reversal of 45032153202300 is 320235123054.

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

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, 35488392 + ... + 36735408.

It is an arithmetic number, because the mean of its divisors is an integer number (510898286528).

Almost surely, 2^{45032153202300} 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 45032153202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73569353260032).

45032153202300 is an abundant number, since it is smaller than the sum of its proper divisors (102106553317764).

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

45032153202300 is a wasteful number, since it uses less digits than its factorization.

45032153202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247429 (or 1247422 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 45032153202300 its reverse (320235123054), we get a palindrome (45352388325354).

The spelling of 45032153202300 in words is "forty-five trillion, thirty-two billion, one hundred fifty-three million, two hundred two thousand, three hundred".