312314958961 has 8 divisors (see below), whose sum is σ = 329026344800. Its totient is φ = 295630948800.

The previous prime is 312314958937. The next prime is 312314959057. The reversal of 312314958961 is 169859413213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312314958961 - 2¹⁵ = 312314926193 is a prime.

It is a super-3 number, since 3×312314958961³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312314958899 and 312314958908.

It is not an unprimeable number, because it can be changed into a prime (312314953961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6820491 + ... + 6866128.

It is an arithmetic number, because the mean of its divisors is an integer number (41128293100).

Almost surely, 2^312314958961 is an apocalyptic number.

It is an amenable number.

312314958961 is a deficient number, since it is larger than the sum of its proper divisors (16711385839).

312314958961 is a wasteful number, since it uses less digits than its factorization.

312314958961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687839.

The product of its digits is 1399680, while the sum is 52.

The spelling of 312314958961 in words is "three hundred twelve billion, three hundred fourteen million, nine hundred fifty-eight thousand, nine hundred sixty-one".