312841672416 has 384 divisors, whose sum is σ = 1126449192960. Its totient is φ = 82255896576.

The previous prime is 312841672399. The next prime is 312841672417. The reversal of 312841672416 is 614276148213.

312841672416 is a `hidden beast` number, since 3 + 128 + 41 + 6 + 72 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312841672417) 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 63 ways as a sum of consecutive naturals, for example, 26490385 + ... + 26502191.

It is an arithmetic number, because the mean of its divisors is an integer number (2933461440).

Almost surely, 2^312841672416 is an apocalyptic number.

312841672416 is a gapful number since it is divisible by the number (36) 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 312841672416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563224596480).

312841672416 is an abundant number, since it is smaller than the sum of its proper divisors (813607520544).

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

312841672416 is a wasteful number, since it uses less digits than its factorization.

312841672416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12183 (or 12169 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 312841672416 in words is "three hundred twelve billion, eight hundred forty-one million, six hundred seventy-two thousand, four hundred sixteen".