830145480192 has 240 divisors, whose sum is σ = 2839536091392. Its totient is φ = 237184174080.

The previous prime is 830145480187. The next prime is 830145480223. The reversal of 830145480192 is 291084541038.

830145480192 is a `hidden beast` number, since 8 + 3 + 0 + 1 + 454 + 8 + 0 + 192 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394317 + ... + 1347507.

Almost surely, 2^830145480192 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 830145480192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419768045696).

830145480192 is an abundant number, since it is smaller than the sum of its proper divisors (2009390611200).

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

830145480192 is an frugal number, since it uses more digits than its factorization.

830145480192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953231 (or 953203 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 830145480192 in words is "eight hundred thirty billion, one hundred forty-five million, four hundred eighty thousand, one hundred ninety-two".