312408804213 has 24 divisors (see below), whose sum is σ = 499214079936. Its totient is φ = 186671923200.

The previous prime is 312408804173. The next prime is 312408804221.

It is a happy number.

312408804213 is a `hidden beast` number, since 31 + 2 + 408 + 8 + 0 + 4 + 213 = 666.

312408804213 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 312408804213 - 2⁸ = 312408803957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312408804013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22215820 + ... + 22229877.

It is an arithmetic number, because the mean of its divisors is an integer number (20800586664).

Almost surely, 2^312408804213 is an apocalyptic number.

312408804213 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

312408804213 is a deficient number, since it is larger than the sum of its proper divisors (186805275723).

312408804213 is a wasteful number, since it uses less digits than its factorization.

312408804213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44445785 (or 44445782 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 312408804213 in words is "three hundred twelve billion, four hundred eight million, eight hundred four thousand, two hundred thirteen".