305903986020864 has 640 divisors, whose sum is σ = 1129075534540800. Its totient is φ = 79445435351040.

The previous prime is 305903986020847. The next prime is 305903986020889. The reversal of 305903986020864 is 468020689309503.

305903986020864 is a `hidden beast` number, since 3 + 0 + 5 + 90 + 398 + 60 + 20 + 86 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 12059118709 + ... + 12059144075.

It is an arithmetic number, because the mean of its divisors is an integer number (1764180522720).

Almost surely, 2^{305903986020864} 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 305903986020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564537767270400).

305903986020864 is an abundant number, since it is smaller than the sum of its proper divisors (823171548519936).

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

305903986020864 is a wasteful number, since it uses less digits than its factorization.

305903986020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36741 (or 36719 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 305903986020864 in words is "three hundred five trillion, nine hundred three billion, nine hundred eighty-six million, twenty thousand, eight hundred sixty-four".