312238776096 has 144 divisors (see below), whose sum is σ = 957689853120. Its totient is φ = 95926924800.

The previous prime is 312238776089. The next prime is 312238776097. The reversal of 312238776096 is 690677832213.

312238776096 is a `hidden beast` number, since 3 + 1 + 2 + 23 + 8 + 7 + 7 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×312238776096³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (312238776097) 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 23 ways as a sum of consecutive naturals, for example, 2404021 + ... + 2530571.

It is an arithmetic number, because the mean of its divisors is an integer number (6650623980).

Almost surely, 2^312238776096 is an apocalyptic number.

312238776096 is a gapful number since it is divisible by the number (36) 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 312238776096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478844926560).

312238776096 is an abundant number, since it is smaller than the sum of its proper divisors (645451077024).

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

312238776096 is a wasteful number, since it uses less digits than its factorization.

312238776096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127239 (or 127228 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 312238776096 in words is "three hundred twelve billion, two hundred thirty-eight million, seven hundred seventy-six thousand, ninety-six".