312245352013441 has 48 divisors (see below), whose sum is σ = 402339048718464. Its totient is φ = 235410709536000.

The previous prime is 312245352013411. The next prime is 312245352013453. The reversal of 312245352013441 is 144310253542213.

It is not a de Polignac number, because 312245352013441 - 2¹⁷ = 312245351882369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312245352013394 and 312245352013403.

It is not an unprimeable number, because it can be changed into a prime (312245352013411) 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 47 ways as a sum of consecutive naturals, for example, 359265381 + ... + 360133453.

It is an arithmetic number, because the mean of its divisors is an integer number (8382063514968).

Almost surely, 2^{312245352013441} is an apocalyptic number.

312245352013441 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312245352013441 is a deficient number, since it is larger than the sum of its proper divisors (90093696705023).

312245352013441 is a wasteful number, since it uses less digits than its factorization.

312245352013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873014 (or 872983 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The spelling of 312245352013441 in words is "three hundred twelve trillion, two hundred forty-five billion, three hundred fifty-two million, thirteen thousand, four hundred forty-one".