45612066226300 has 144 divisors (see below), whose sum is σ = 113433691168000. Its totient is φ = 15594781063680.

The previous prime is 45612066226289. The next prime is 45612066226303. The reversal of 45612066226300 is 362266021654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45612066226303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3419445031 + ... + 3419458369.

Almost surely, 2^{45612066226300} 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 45612066226300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56716845584000).

45612066226300 is an abundant number, since it is smaller than the sum of its proper divisors (67821624941700).

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

45612066226300 is a wasteful number, since it uses less digits than its factorization.

45612066226300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26628 (or 26621 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 45612066226300 in words is "forty-five trillion, six hundred twelve billion, sixty-six million, two hundred twenty-six thousand, three hundred".