305138368512 has 360 divisors, whose sum is σ = 935211929652. Its totient is φ = 99090432000.

The previous prime is 305138368499. The next prime is 305138368537. The reversal of 305138368512 is 215863831503.

305138368512 is a `hidden beast` number, since 3 + 0 + 51 + 3 + 83 + 6 + 8 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 303222030336 + 1916338176 = 550656^2 + 43776^2 .

It is a super-2 number, since 2×305138368512² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 435289762 + ... + 435290462.

Almost surely, 2^305138368512 is an apocalyptic number.

305138368512 is a gapful number since it is divisible by the number (32) 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 305138368512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467605964826).

305138368512 is an abundant number, since it is smaller than the sum of its proper divisors (630073561140).

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

305138368512 is an frugal number, since it uses more digits than its factorization.

305138368512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 305138368512 in words is "three hundred five billion, one hundred thirty-eight million, three hundred sixty-eight thousand, five hundred twelve".