306091312128 has 1100 divisors, whose sum is σ = 1123909484940. Its totient is φ = 82845794304.

The previous prime is 306091312127. The next prime is 306091312133. The reversal of 306091312128 is 821213190603.

306091312128 is a `hidden beast` number, since 3 + 0 + 609 + 1 + 3 + 1 + 21 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191381750784 + 114709561344 = 437472^2 + 338688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 306091312092 and 306091312101.

It is not an unprimeable number, because it can be changed into a prime (306091312127) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 5775307750 + ... + 5775307802.

Almost surely, 2^306091312128 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 306091312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561954742470).

306091312128 is an abundant number, since it is smaller than the sum of its proper divisors (817818172812).

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

306091312128 is an frugal number, since it uses more digits than its factorization.

306091312128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 306091312128 in words is "three hundred six billion, ninety-one million, three hundred twelve thousand, one hundred twenty-eight".