309063104064 has 1792 divisors, whose sum is σ = 1216664064000. Its totient is φ = 75432591360.

The previous prime is 309063104029. The next prime is 309063104101. The reversal of 309063104064 is 460401360903.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 5238357667 + ... + 5238357725.

It is an arithmetic number, because the mean of its divisors is an integer number (678942000).

Almost surely, 2^309063104064 is an apocalyptic number.

309063104064 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 309063104064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608332032000).

309063104064 is an abundant number, since it is smaller than the sum of its proper divisors (907600959936).

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

309063104064 is a wasteful number, since it uses less digits than its factorization.

309063104064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 309063104064 its reverse (460401360903), we get a palindrome (769464464967).

The spelling of 309063104064 in words is "three hundred nine billion, sixty-three million, one hundred four thousand, sixty-four".