830931956712 has 256 divisors, whose sum is σ = 2748819628800. Its totient is φ = 229243944960.

The previous prime is 830931956669. The next prime is 830931956713. The reversal of 830931956712 is 217659139038.

830931956712 is a `hidden beast` number, since 8 + 30 + 9 + 31 + 9 + 567 + 12 = 666.

It is a super-3 number, since 3×830931956712³ (a number of 37 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (830931956713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2070568 + ... + 2439080.

It is an arithmetic number, because the mean of its divisors is an integer number (10737576675).

Almost surely, 2^830931956712 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 830931956712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374409814400).

830931956712 is an abundant number, since it is smaller than the sum of its proper divisors (1917887672088).

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

830931956712 is a wasteful number, since it uses less digits than its factorization.

830931956712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368625 (or 368615 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 830931956712 in words is "eight hundred thirty billion, nine hundred thirty-one million, nine hundred fifty-six thousand, seven hundred twelve".