305394308856 has 256 divisors, whose sum is σ = 1044736358400. Its totient is φ = 80493170688.

The previous prime is 305394308851. The next prime is 305394308897. The reversal of 305394308856 is 658803493503.

It is a happy number.

305394308856 is a `hidden beast` number, since 30 + 53 + 9 + 430 + 88 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305394308851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39642301 + ... + 39650003.

It is an arithmetic number, because the mean of its divisors is an integer number (4081001400).

Almost surely, 2^305394308856 is an apocalyptic number.

305394308856 is a gapful number since it is divisible by the number (36) 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 305394308856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522368179200).

305394308856 is an abundant number, since it is smaller than the sum of its proper divisors (739342049544).

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

305394308856 is a wasteful number, since it uses less digits than its factorization.

305394308856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755 (or 9745 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 305394308856 in words is "three hundred five billion, three hundred ninety-four million, three hundred eight thousand, eight hundred fifty-six".