312306251796 has 864 divisors, whose sum is σ = 1104469696512. Its totient is φ = 71997050880.

The previous prime is 312306251753. The next prime is 312306251821. The reversal of 312306251796 is 697152603213.

312306251796 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 0 + 625 + 17 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3032099481 + ... + 3032099583.

It is an arithmetic number, because the mean of its divisors is an integer number (1278321408).

Almost surely, 2^312306251796 is an apocalyptic number.

312306251796 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 312306251796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552234848256).

312306251796 is an abundant number, since it is smaller than the sum of its proper divisors (792163444716).

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

312306251796 is a wasteful number, since it uses less digits than its factorization.

312306251796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 312306251796 in words is "three hundred twelve billion, three hundred six million, two hundred fifty-one thousand, seven hundred ninety-six".