45045213121300 has 432 divisors, whose sum is σ = 122160544849728. Its totient is φ = 14323425177600.

The previous prime is 45045213121273. The next prime is 45045213121309. The reversal of 45045213121300 is 312131254054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45045213121309) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2744810095 + ... + 2744826505.

It is an arithmetic number, because the mean of its divisors is an integer number (282779039004).

Almost surely, 2^{45045213121300} 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 45045213121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61080272424864).

45045213121300 is an abundant number, since it is smaller than the sum of its proper divisors (77115331728428).

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

45045213121300 is a wasteful number, since it uses less digits than its factorization.

45045213121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16936 (or 16922 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 45045213121300 its reverse (312131254054), we get a palindrome (45357344375354).

The spelling of 45045213121300 in words is "forty-five trillion, forty-five billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred".