312453616608 has 144 divisors (see below), whose sum is σ = 1020737049696. Its totient is φ = 88809799680.

The previous prime is 312453616549. The next prime is 312453616627. The reversal of 312453616608 is 806616354213.

312453616608 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 5 + 36 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12433 + ... + 790608.

It is an arithmetic number, because the mean of its divisors is an integer number (7088451734).

Almost surely, 2^312453616608 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 312453616608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510368524848).

312453616608 is an abundant number, since it is smaller than the sum of its proper divisors (708283433088).

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

312453616608 is a wasteful number, since it uses less digits than its factorization.

312453616608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803257 (or 803246 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 312453616608 in words is "three hundred twelve billion, four hundred fifty-three million, six hundred sixteen thousand, six hundred eight".