312353656216623 has 192 divisors, whose sum is σ = 544773267118080. Its totient is φ = 175174220464128.

The previous prime is 312353656216601. The next prime is 312353656216649. The reversal of 312353656216623 is 326612656353213.

312353656216623 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 5 + 3 + 6 + 5 + 6 + 2 + 1 + 6 + 623 = 666.

It is not a de Polignac number, because 312353656216623 - 2⁹ = 312353656216111 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312353656216623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312353656266623) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8337638590 + ... + 8337676052.

It is an arithmetic number, because the mean of its divisors is an integer number (2837360766240).

Almost surely, 2^{312353656216623} is an apocalyptic number.

312353656216623 is a deficient number, since it is larger than the sum of its proper divisors (232419610901457).

312353656216623 is a wasteful number, since it uses less digits than its factorization.

312353656216623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38020 (or 38008 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 54.

The spelling of 312353656216623 in words is "three hundred twelve trillion, three hundred fifty-three billion, six hundred fifty-six million, two hundred sixteen thousand, six hundred twenty-three".