305314136064 has 684 divisors, whose sum is σ = 1087790667600. Its totient is φ = 82046877696.

The previous prime is 305314136051. The next prime is 305314136077. The reversal of 305314136064 is 460631413503.

305314136064 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 1 + 41 + 3 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (305314136051) and next prime (305314136077).

It is a tau number, because it is divible by the number of its divisors (684).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2196504507 + ... + 2196504645.

Almost surely, 2^305314136064 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 305314136064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543895333800).

305314136064 is an abundant number, since it is smaller than the sum of its proper divisors (782476531536).

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

305314136064 is an equidigital number, since it uses as much as digits as its factorization.

305314136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 305314136064 its reverse (460631413503), we get a palindrome (765945549567).

The spelling of 305314136064 in words is "three hundred five billion, three hundred fourteen million, one hundred thirty-six thousand, sixty-four".