306861991488 has 420 divisors, whose sum is σ = 999054832468. Its totient is φ = 92580433920.

The previous prime is 306861991463. The next prime is 306861991519. The reversal of 306861991488 is 884199168603.

306861991488 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 61 + 9 + 91 + 488 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9322288704 + 297539702784 = 96552^2 + 545472^2 .

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 189303318 + ... + 189304938.

Almost surely, 2^306861991488 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 306861991488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499527416234).

306861991488 is an abundant number, since it is smaller than the sum of its proper divisors (692192840980).

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

306861991488 is a wasteful number, since it uses less digits than its factorization.

306861991488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 306861991488 in words is "three hundred six billion, eight hundred sixty-one million, nine hundred ninety-one thousand, four hundred eighty-eight".