312344342142432 has 96 divisors (see below), whose sum is σ = 820455390099072. Its totient is φ = 104044768525824.

The previous prime is 312344342142409. The next prime is 312344342142439. The reversal of 312344342142432 is 234241243443213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312344342142439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1107671283 + ... + 1107953229.

It is an arithmetic number, because the mean of its divisors is an integer number (8546410313532).

Almost surely, 2^{312344342142432} is an apocalyptic number.

312344342142432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

312344342142432 is an abundant number, since it is smaller than the sum of its proper divisors (508111047956640).

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

312344342142432 is a wasteful number, since it uses less digits than its factorization.

312344342142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289680 (or 289672 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

Adding to 312344342142432 its reverse (234241243443213), we get a palindrome (546585585585645).

The spelling of 312344342142432 in words is "three hundred twelve trillion, three hundred forty-four billion, three hundred forty-two million, one hundred forty-two thousand, four hundred thirty-two".