319226068512 has 270 divisors, whose sum is σ = 988463865753. Its totient is φ = 97724809728.

The previous prime is 319226068487. The next prime is 319226068523. The reversal of 319226068512 is 215860622913.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

319226068512 is a `hidden beast` number, since 3 + 1 + 9 + 22 + 606 + 8 + 5 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6078385296 + 313147683216 = 77964^2 + 559596^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=399516.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1620436798 + ... + 1620436994.

Almost surely, 2^319226068512 is an apocalyptic number.

319226068512 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 319226068512

319226068512 is an abundant number, since it is smaller than the sum of its proper divisors (669237797241).

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

319226068512 is an frugal number, since it uses more digits than its factorization.

319226068512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 319226068512 in words is "three hundred nineteen billion, two hundred twenty-six million, sixty-eight thousand, five hundred twelve".