45215841483072 has 1008 divisors, whose sum is σ = 153368705118720. Its totient is φ = 12681772646400.

The previous prime is 45215841483049. The next prime is 45215841483073. The reversal of 45215841483072 is 27038414851254.

45215841483072 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 58 + 41 + 483 + 0 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45215841483073) 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, 10377744318 + ... + 10377748674.

Almost surely, 2^{45215841483072} 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 45215841483072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76684352559360).

45215841483072 is an abundant number, since it is smaller than the sum of its proper divisors (108152863635648).

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

45215841483072 is a wasteful number, since it uses less digits than its factorization.

45215841483072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 45215841483072 in words is "forty-five trillion, two hundred fifteen billion, eight hundred forty-one million, four hundred eighty-three thousand, seventy-two".