312223689648 has 240 divisors, whose sum is σ = 946339430400. Its totient is φ = 95526452736.

The previous prime is 312223689641. The next prime is 312223689653. The reversal of 312223689648 is 846986322213.

312223689648 is a `hidden beast` number, since 312 + 2 + 236 + 8 + 96 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 312223689594 and 312223689603.

It is not an unprimeable number, because it can be changed into a prime (312223689641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429468261 + ... + 429468987.

It is an arithmetic number, because the mean of its divisors is an integer number (3943080960).

Almost surely, 2^312223689648 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 312223689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473169715200).

312223689648 is an abundant number, since it is smaller than the sum of its proper divisors (634115740752).

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

312223689648 is a wasteful number, since it uses less digits than its factorization.

312223689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1727 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 312223689648 in words is "three hundred twelve billion, two hundred twenty-three million, six hundred eighty-nine thousand, six hundred forty-eight".