312334240104144 has 40 divisors (see below), whose sum is σ = 896514948448320. Its totient is φ = 104111413367904.

The previous prime is 312334240104121. The next prime is 312334240104149. The reversal of 312334240104144 is 441401042433213.

312334240104144 is a `hidden beast` number, since 3 + 1 + 2 + 334 + 240 + 1 + 0 + 41 + 44 = 666.

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 = 312334240104099 and 312334240104108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312334240104149) 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, 361497962652 + ... + 361497963515.

It is an arithmetic number, because the mean of its divisors is an integer number (22412873711208).

Almost surely, 2^{312334240104144} is an apocalyptic number.

It is an amenable number.

312334240104144 is an abundant number, since it is smaller than the sum of its proper divisors (584180708344176).

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

312334240104144 is a wasteful number, since it uses less digits than its factorization.

312334240104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722995926184 (or 722995926172 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 312334240104144 its reverse (441401042433213), we get a palindrome (753735282537357).

The spelling of 312334240104144 in words is "three hundred twelve trillion, three hundred thirty-four billion, two hundred forty million, one hundred four thousand, one hundred forty-four".