309086009791104 has 512 divisors, whose sum is σ = 1094794901544960. Its totient is φ = 74937820446720.

The previous prime is 309086009791081. The next prime is 309086009791109. The reversal of 309086009791104 is 401197900680903.

It is a super-2 number, since 2×309086009791104² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (309086009791109) 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 63 ways as a sum of consecutive naturals, for example, 19494009 + ... + 31594119.

It is an arithmetic number, because the mean of its divisors is an integer number (2138271292080).

Almost surely, 2^{309086009791104} is an apocalyptic number.

309086009791104 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 309086009791104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547397450772480).

309086009791104 is an abundant number, since it is smaller than the sum of its proper divisors (785708891753856).

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

309086009791104 is a wasteful number, since it uses less digits than its factorization.

309086009791104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12100208 (or 12100196 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 57.

The spelling of 309086009791104 in words is "three hundred nine trillion, eighty-six billion, nine million, seven hundred ninety-one thousand, one hundred four".