312809644958976 has 2304 divisors, whose sum is σ = 1124606052864000. Its totient is φ = 84650974248960.

The previous prime is 312809644958971. The next prime is 312809644958999. The reversal of 312809644958976 is 679859446908213.

It is a happy number.

312809644958976 is a `hidden beast` number, since 3 + 1 + 2 + 8 + 0 + 96 + 449 + 5 + 89 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 312809644958895 and 312809644958904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312809644958971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 825355263555 + ... + 825355263933.

It is an arithmetic number, because the mean of its divisors is an integer number (488110266000).

It is a 1-persistent number, because it is pandigital, but 2⋅312809644958976 = 625619289917952 is not.

Almost surely, 2^{312809644958976} is an apocalyptic number.

312809644958976 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 312809644958976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562303026432000).

312809644958976 is an abundant number, since it is smaller than the sum of its proper divisors (811796407905024).

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

312809644958976 is a wasteful number, since it uses less digits than its factorization.

312809644958976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 312809644958976 in words is "three hundred twelve trillion, eight hundred nine billion, six hundred forty-four million, nine hundred fifty-eight thousand, nine hundred seventy-six".