312032366208 has 512 divisors, whose sum is σ = 969892704000. Its totient is φ = 98666201088.

The previous prime is 312032366179. The next prime is 312032366209. The reversal of 312032366208 is 802663230213.

It is a happy number.

312032366208 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 3 + 23 + 6 + 620 + 8 = 666.

It is a super-2 number, since 2×312032366208² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (312032366209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1362586638 + ... + 1362586866.

Almost surely, 2^312032366208 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 312032366208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484946352000).

312032366208 is an abundant number, since it is smaller than the sum of its proper divisors (657860337792).

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

312032366208 is a wasteful number, since it uses less digits than its factorization.

312032366208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 312032366208 in words is "three hundred twelve billion, thirty-two million, three hundred sixty-six thousand, two hundred eight".