445460200635648 has 144 divisors (see below), whose sum is σ = 1293439100651712. Its totient is φ = 134978973696000.

The previous prime is 445460200635631. The next prime is 445460200635683. The reversal of 445460200635648 is 846536002064544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125998618 + ... + 129485798.

It is an arithmetic number, because the mean of its divisors is an integer number (8982215976748).

Almost surely, 2^{445460200635648} is an apocalyptic number.

445460200635648 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 445460200635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646719550325856).

445460200635648 is an abundant number, since it is smaller than the sum of its proper divisors (847978900016064).

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

445460200635648 is a wasteful number, since it uses less digits than its factorization.

445460200635648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502332 (or 3502318 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 57.

The spelling of 445460200635648 in words is "four hundred forty-five trillion, four hundred sixty billion, two hundred million, six hundred thirty-five thousand, six hundred forty-eight".