312141232033344 has 168 divisors, whose sum is σ = 1036517256968960. Its totient is φ = 87961521272832.

The previous prime is 312141232033333. The next prime is 312141232033349. The reversal of 312141232033344 is 443330232141213.

312141232033344 is a `hidden beast` number, since 3 + 1 + 2 + 1 + 412 + 3 + 203 + 3 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312141232033299 and 312141232033308.

It is not an unprimeable number, because it can be changed into a prime (312141232033349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 529952104 + ... + 530540775.

Almost surely, 2^{312141232033344} is an apocalyptic number.

It is an amenable number.

312141232033344 is an abundant number, since it is smaller than the sum of its proper divisors (724376024935616).

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

312141232033344 is a wasteful number, since it uses less digits than its factorization.

312141232033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060492977 (or 1060492964 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 312141232033344 its reverse (443330232141213), we get a palindrome (755471464174557).

The spelling of 312141232033344 in words is "three hundred twelve trillion, one hundred forty-one billion, two hundred thirty-two million, thirty-three thousand, three hundred forty-four".