305359231968 has 192 divisors, whose sum is σ = 1020644997120. Its totient is φ = 87007136256.

The previous prime is 305359231967. The next prime is 305359231997. The reversal of 305359231968 is 869132953503.

305359231968 is a `hidden beast` number, since 3 + 0 + 535 + 92 + 3 + 19 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (305359231967) 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, 2150830 + ... + 2288402.

It is an arithmetic number, because the mean of its divisors is an integer number (5315859360).

Almost surely, 2^305359231968 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 305359231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510322498560).

305359231968 is an abundant number, since it is smaller than the sum of its proper divisors (715285765152).

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

305359231968 is a wasteful number, since it uses less digits than its factorization.

305359231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137966 (or 137952 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 305359231968 in words is "three hundred five billion, three hundred fifty-nine million, two hundred thirty-one thousand, nine hundred sixty-eight".