830615809842 has 288 divisors, whose sum is σ = 2351345278464. Its totient is φ = 209802700800.

The previous prime is 830615809841. The next prime is 830615809843. The reversal of 830615809842 is 248908516038.

830615809842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (830615809841) and next prime (830615809843).

It is not an unprimeable number, because it can be changed into a prime (830615809841) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34466217 + ... + 34490307.

It is an arithmetic number, because the mean of its divisors is an integer number (8164393328).

Almost surely, 2^830615809842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830615809842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175672639232).

830615809842 is an abundant number, since it is smaller than the sum of its proper divisors (1520729468622).

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

830615809842 is a wasteful number, since it uses less digits than its factorization.

830615809842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24254 (or 24244 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 830615809842 in words is "eight hundred thirty billion, six hundred fifteen million, eight hundred nine thousand, eight hundred forty-two".