312056675460752 has 160 divisors (see below), whose sum is σ = 647356909006080. Its totient is φ = 145451640176640.

The previous prime is 312056675460707. The next prime is 312056675460763. The reversal of 312056675460752 is 257064576650213.

It is a junction number, because it is equal to n+sod(n) for n = 312056675460691 and 312056675460700.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3043008743 + ... + 3043111289.

It is an arithmetic number, because the mean of its divisors is an integer number (4045980681288).

Almost surely, 2^{312056675460752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312056675460752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323678454503040).

312056675460752 is an abundant number, since it is smaller than the sum of its proper divisors (335300233545328).

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

312056675460752 is a wasteful number, since it uses less digits than its factorization.

312056675460752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104281 (or 104275 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 59.

The spelling of 312056675460752 in words is "three hundred twelve trillion, fifty-six billion, six hundred seventy-five million, four hundred sixty thousand, seven hundred fifty-two".