306111289344 has 384 divisors, whose sum is σ = 990605790720. Its totient is φ = 82061033472.

The previous prime is 306111289343. The next prime is 306111289349. The reversal of 306111289344 is 443982111603.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 306111289296 and 306111289305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306111289343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448186027 + ... + 448186709.

It is an arithmetic number, because the mean of its divisors is an integer number (2579702580).

Almost surely, 2^306111289344 is an apocalyptic number.

306111289344 is a gapful number since it is divisible by the number (34) 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 306111289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495302895360).

306111289344 is an abundant number, since it is smaller than the sum of its proper divisors (684494501376).

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

306111289344 is a wasteful number, since it uses less digits than its factorization.

306111289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 306111289344 in words is "three hundred six billion, one hundred eleven million, two hundred eighty-nine thousand, three hundred forty-four".