312407495321328 has 800 divisors, whose sum is σ = 1007480909952000. Its totient is φ = 92668582656000.

The previous prime is 312407495321309. The next prime is 312407495321353. The reversal of 312407495321328 is 823123594704213.

312407495321328 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 74 + 9 + 532 + 1 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 109578215103 + ... + 109578217953.

It is an arithmetic number, because the mean of its divisors is an integer number (1259351137440).

Almost surely, 2^{312407495321328} 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 312407495321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503740454976000).

312407495321328 is an abundant number, since it is smaller than the sum of its proper divisors (695073414630672).

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

312407495321328 is a wasteful number, since it uses less digits than its factorization.

312407495321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 312407495321328 in words is "three hundred twelve trillion, four hundred seven billion, four hundred ninety-five million, three hundred twenty-one thousand, three hundred twenty-eight".