831902493312 has 640 divisors, whose sum is σ = 2763549550080. Its totient is φ = 246293913600.

The previous prime is 831902493263. The next prime is 831902493319. The reversal of 831902493312 is 213394209138.

831902493312 is a `hidden beast` number, since 8 + 3 + 1 + 90 + 249 + 3 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (831902493319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1370514513 + ... + 1370515119.

It is an arithmetic number, because the mean of its divisors is an integer number (4318046172).

Almost surely, 2^831902493312 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 831902493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381774775040).

831902493312 is an abundant number, since it is smaller than the sum of its proper divisors (1931647056768).

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

831902493312 is a wasteful number, since it uses less digits than its factorization.

831902493312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 831902493312 in words is "eight hundred thirty-one billion, nine hundred two million, four hundred ninety-three thousand, three hundred twelve".