312421243344 has 160 divisors (see below), whose sum is σ = 966354149376. Its totient is φ = 85094254080.

The previous prime is 312421243333. The next prime is 312421243369. The reversal of 312421243344 is 443342124213.

It is a super-2 number, since 2×312421243344² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 474034 + ... + 921710.

Almost surely, 2^312421243344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312421243344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483177074688).

312421243344 is an abundant number, since it is smaller than the sum of its proper divisors (653932906032).

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

312421243344 is a wasteful number, since it uses less digits than its factorization.

312421243344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447793 (or 447787 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 312421243344 its reverse (443342124213), we get a palindrome (755763367557).

The spelling of 312421243344 in words is "three hundred twelve billion, four hundred twenty-one million, two hundred forty-three thousand, three hundred forty-four".