312403042244352 has 144 divisors (see below), whose sum is σ = 843460720704000. Its totient is φ = 102630831206400.

The previous prime is 312403042244341. The next prime is 312403042244353. The reversal of 312403042244352 is 253442240304213.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 312403042244352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312403042244353) 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, 151161274 + ... + 153214022.

It is an arithmetic number, because the mean of its divisors is an integer number (5857366116000).

Almost surely, 2^{312403042244352} is an apocalyptic number.

312403042244352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312403042244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421730360352000).

312403042244352 is an abundant number, since it is smaller than the sum of its proper divisors (531057678459648).

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

312403042244352 is a wasteful number, since it uses less digits than its factorization.

312403042244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055630 (or 2055616 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 39.

Adding to 312403042244352 its reverse (253442240304213), we get a palindrome (565845282548565).

The spelling of 312403042244352 in words is "three hundred twelve trillion, four hundred three billion, forty-two million, two hundred forty-four thousand, three hundred fifty-two".