306104809080000 has 3360 divisors, whose sum is σ = 1296454747281408. Its totient is φ = 63247564800000.

The previous prime is 306104809079999. The next prime is 306104809080001. The reversal of 306104809080000 is 80908401603.

It is an interprime number because it is at equal distance from previous prime (306104809079999) and next prime (306104809080001).

It is a tau number, because it is divible by the number of its divisors (3360).

It is not an unprimeable number, because it can be changed into a prime (306104809080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 536085479715 + ... + 536085480285.

Almost surely, 2^{306104809080000} is an apocalyptic number.

306104809080000 is a gapful number since it is divisible by the number (30) 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 306104809080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648227373640704).

306104809080000 is an abundant number, since it is smaller than the sum of its proper divisors (990349938201408).

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

306104809080000 is a wasteful number, since it uses less digits than its factorization.

306104809080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 306104809080000 in words is "three hundred six trillion, one hundred four billion, eight hundred nine million, eighty thousand".