312403313322432 has 280 divisors, whose sum is σ = 932205414792960. Its totient is φ = 103445729856000.

The previous prime is 312403313322361. The next prime is 312403313322439. The reversal of 312403313322432 is 234223313304213.

312403313322432 is a `hidden beast` number, since 3 + 1 + 2 + 40 + 33 + 133 + 22 + 432 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312403313322439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492831993 + ... + 493465479.

It is an arithmetic number, because the mean of its divisors is an integer number (3329305052832).

Almost surely, 2^{312403313322432} is an apocalyptic number.

312403313322432 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 312403313322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466102707396480).

312403313322432 is an abundant number, since it is smaller than the sum of its proper divisors (619802101470528).

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

312403313322432 is a wasteful number, since it uses less digits than its factorization.

312403313322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634141 (or 634122 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 312403313322432 its reverse (234223313304213), we get a palindrome (546626626626645).

The spelling of 312403313322432 in words is "three hundred twelve trillion, four hundred three billion, three hundred thirteen million, three hundred twenty-two thousand, four hundred thirty-two".