312233618340 has 216 divisors, whose sum is σ = 1103944645440. Its totient is φ = 71224788096.

The previous prime is 312233618321. The next prime is 312233618341. The reversal of 312233618340 is 43816332213.

312233618340 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 3 + 3 + 618 + 34 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 312233618295 and 312233618304.

It is not an unprimeable number, because it can be changed into a prime (312233618341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4401271 + ... + 4471649.

It is an arithmetic number, because the mean of its divisors is an integer number (5110854840).

Almost surely, 2^312233618340 is an apocalyptic number.

312233618340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312233618340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551972322720).

312233618340 is an abundant number, since it is smaller than the sum of its proper divisors (791711027100).

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

312233618340 is a wasteful number, since it uses less digits than its factorization.

312233618340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70911 (or 70899 counting only the distinct ones).

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

The spelling of 312233618340 in words is "three hundred twelve billion, two hundred thirty-three million, six hundred eighteen thousand, three hundred forty".