312209509064608 has 96 divisors (see below), whose sum is σ = 639711641701440. Its totient is φ = 149860591534080.

The previous prime is 312209509064591. The next prime is 312209509064693. The reversal of 312209509064608 is 806460905902213.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73505503 + ... + 77636833.

It is an arithmetic number, because the mean of its divisors is an integer number (6663662934390).

Almost surely, 2^{312209509064608} 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 312209509064608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319855820850720).

312209509064608 is an abundant number, since it is smaller than the sum of its proper divisors (327502132636832).

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

312209509064608 is a wasteful number, since it uses less digits than its factorization.

312209509064608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132230 (or 4132222 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 312209509064608 in words is "three hundred twelve trillion, two hundred nine billion, five hundred nine million, sixty-four thousand, six hundred eight".