830016430016 has 112 divisors (see below), whose sum is σ = 1755901593600. Its totient is φ = 388149553152.

The previous prime is 830016430013. The next prime is 830016430037. The reversal of 830016430016 is 610034610038.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830016430013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225975956 + ... + 225979628.

It is an arithmetic number, because the mean of its divisors is an integer number (15677692800).

Almost surely, 2^830016430016 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 830016430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877950796800).

830016430016 is an abundant number, since it is smaller than the sum of its proper divisors (925885163584).

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

830016430016 is a wasteful number, since it uses less digits than its factorization.

830016430016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 830016430016 in words is "eight hundred thirty billion, sixteen million, four hundred thirty thousand, sixteen".