830823135024 has 160 divisors (see below), whose sum is σ = 2209904985600. Its totient is φ = 268858497024.

The previous prime is 830823135007. The next prime is 830823135029. The reversal of 830823135024 is 420531328038.

830823135024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 911495²-1.

It is a super-2 number, since 2×830823135024² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (830823135029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96614277 + ... + 96622875.

It is an arithmetic number, because the mean of its divisors is an integer number (13811906160).

Almost surely, 2^830823135024 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 830823135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104952492800).

830823135024 is an abundant number, since it is smaller than the sum of its proper divisors (1379081850576).

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

830823135024 is a wasteful number, since it uses less digits than its factorization.

830823135024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9059 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 830823135024 in words is "eight hundred thirty billion, eight hundred twenty-three million, one hundred thirty-five thousand, twenty-four".