45015221152300 has 216 divisors, whose sum is σ = 115390833420240. Its totient is φ = 15195546777600.

The previous prime is 45015221152273. The next prime is 45015221152313. The reversal of 45015221152300 is 325112251054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 203420715 + ... + 203641885.

It is an arithmetic number, because the mean of its divisors is an integer number (534216821390).

Almost surely, 2^{45015221152300} 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 45015221152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57695416710120).

45015221152300 is an abundant number, since it is smaller than the sum of its proper divisors (70375612267940).

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

45015221152300 is a wasteful number, since it uses less digits than its factorization.

45015221152300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221841 (or 221827 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 45015221152300 in words is "forty-five trillion, fifteen billion, two hundred twenty-one million, one hundred fifty-two thousand, three hundred".