306228612096 has 528 divisors, whose sum is σ = 1003626086400. Its totient is φ = 92167004160.

The previous prime is 306228612071. The next prime is 306228612101. The reversal of 306228612096 is 690216822603.

306228612096 is a `hidden beast` number, since 3 + 0 + 6 + 2 + 28 + 612 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 799552321 + ... + 799552703.

Almost surely, 2^306228612096 is an apocalyptic number.

306228612096 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 306228612096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501813043200).

306228612096 is an abundant number, since it is smaller than the sum of its proper divisors (697397474304).

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

306228612096 is a wasteful number, since it uses less digits than its factorization.

306228612096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 306228612096 in words is "three hundred six billion, two hundred twenty-eight million, six hundred twelve thousand, ninety-six".