312771728832 has 224 divisors, whose sum is σ = 868255718400. Its totient is φ = 99280896000.

The previous prime is 312771728827. The next prime is 312771728839. The reversal of 312771728832 is 238827177213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312771728839) 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 31 ways as a sum of consecutive naturals, for example, 55345207 + ... + 55350857.

It is an arithmetic number, because the mean of its divisors is an integer number (3876141600).

Almost surely, 2^312771728832 is an apocalyptic number.

312771728832 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 312771728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434127859200).

312771728832 is an abundant number, since it is smaller than the sum of its proper divisors (555483989568).

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

312771728832 is a wasteful number, since it uses less digits than its factorization.

312771728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5875 (or 5865 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 51.

The spelling of 312771728832 in words is "three hundred twelve billion, seven hundred seventy-one million, seven hundred twenty-eight thousand, eight hundred thirty-two".