312218118768 has 160 divisors (see below), whose sum is σ = 851584352256. Its totient is φ = 98376816384.

The previous prime is 312218118767. The next prime is 312218118787. The reversal of 312218118768 is 867811812213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312218118761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36870471 + ... + 36878937.

Almost surely, 2^312218118768 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 312218118768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425792176128).

312218118768 is an abundant number, since it is smaller than the sum of its proper divisors (539366233488).

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

312218118768 is a wasteful number, since it uses less digits than its factorization.

312218118768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8891 (or 8885 counting only the distinct ones).

The product of its digits is 258048, while the sum is 48.

The spelling of 312218118768 in words is "three hundred twelve billion, two hundred eighteen million, one hundred eighteen thousand, seven hundred sixty-eight".