830271117312 has 1152 divisors, whose sum is σ = 3101598864000. Its totient is φ = 209328537600.

The previous prime is 830271117251. The next prime is 830271117317. The reversal of 830271117312 is 213711172038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×830271117312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830271117317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8220506062 + ... + 8220506162.

It is an arithmetic number, because the mean of its divisors is an integer number (2692360125).

Almost surely, 2^830271117312 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 830271117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550799432000).

830271117312 is an abundant number, since it is smaller than the sum of its proper divisors (2271327746688).

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

830271117312 is a wasteful number, since it uses less digits than its factorization.

830271117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 830271117312 in words is "eight hundred thirty billion, two hundred seventy-one million, one hundred seventeen thousand, three hundred twelve".