45322605770448 has 640 divisors, whose sum is σ = 127777421721600. Its totient is φ = 13809940125696.

The previous prime is 45322605770423. The next prime is 45322605770467. The reversal of 45322605770448 is 84407750622354.

It is a happy number.

45322605770448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108168509983 + ... + 108168510401.

It is an arithmetic number, because the mean of its divisors is an integer number (199652221440).

Almost surely, 2^{45322605770448} is an apocalyptic number.

45322605770448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45322605770448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63888710860800).

45322605770448 is an abundant number, since it is smaller than the sum of its proper divisors (82454815951152).

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

45322605770448 is a wasteful number, since it uses less digits than its factorization.

45322605770448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 57.

The spelling of 45322605770448 in words is "forty-five trillion, three hundred twenty-two billion, six hundred five million, seven hundred seventy thousand, four hundred forty-eight".