312257338848 has 1152 divisors, whose sum is σ = 1184954158080. Its totient is φ = 79252992000.

The previous prime is 312257338837. The next prime is 312257338891. The reversal of 312257338848 is 848833752213.

312257338848 is a `hidden beast` number, since 3 + 1 + 2 + 257 + 3 + 388 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (7741440) is a multiple of the sum of its prime divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 312257338794 and 312257338803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2383643743 + ... + 2383643873.

It is an arithmetic number, because the mean of its divisors is an integer number (1028606040).

Almost surely, 2^312257338848 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 312257338848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592477079040).

312257338848 is an abundant number, since it is smaller than the sum of its proper divisors (872696819232).

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

312257338848 is a wasteful number, since it uses less digits than its factorization.

312257338848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 288 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 312257338848 in words is "three hundred twelve billion, two hundred fifty-seven million, three hundred thirty-eight thousand, eight hundred forty-eight".