830953826164 has 96 divisors (see below), whose sum is σ = 1819985126400. Its totient is φ = 322501512960.

The previous prime is 830953826149. The next prime is 830953826191. The reversal of 830953826164 is 461628359038.

830953826164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×830953826164² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95365072 + ... + 95373784.

It is an arithmetic number, because the mean of its divisors is an integer number (18958178400).

Almost surely, 2^830953826164 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 830953826164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909992563200).

830953826164 is an abundant number, since it is smaller than the sum of its proper divisors (989031300236).

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

830953826164 is a wasteful number, since it uses less digits than its factorization.

830953826164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9893 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 830953826164 in words is "eight hundred thirty billion, nine hundred fifty-three million, eight hundred twenty-six thousand, one hundred sixty-four".