305442644445312 has 256 divisors, whose sum is σ = 937182312673920. Its totient is φ = 87111094763520.

The previous prime is 305442644445229. The next prime is 305442644445313. The reversal of 305442644445312 is 213544446244503.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (305442644445313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4589431428 + ... + 4589497980.

Almost surely, 2^{305442644445312} is an apocalyptic number.

305442644445312 is a gapful number since it is divisible by the number (32) 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 305442644445312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468591156336960).

305442644445312 is an abundant number, since it is smaller than the sum of its proper divisors (631739668228608).

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

305442644445312 is a wasteful number, since it uses less digits than its factorization.

305442644445312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130511 (or 130499 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 51.

The spelling of 305442644445312 in words is "three hundred five trillion, four hundred forty-two billion, six hundred forty-four million, four hundred forty-five thousand, three hundred twelve".