831109369104 has 135 divisors (see below), whose sum is σ = 2705948493573. Its totient is φ = 237437940096.

The previous prime is 831109369091. The next prime is 831109369117. The reversal of 831109369104 is 401963901138.

The square root of 831109369104 is 911652.

It is a perfect power (a square), and thus also a powerful number.

831109369104 is a `hidden beast` number, since 83 + 1 + 109 + 369 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (831109369091) and next prime (831109369117).

It can be written as a sum of positive squares in only one way, i.e., 447641283600 + 383468085504 = 669060^2 + 619248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 831109369104.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76573342 + ... + 76584194.

Almost surely, 2^831109369104 is an apocalyptic number.

831109369104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

831109369104 is the 911652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831109369104

831109369104 is an abundant number, since it is smaller than the sum of its proper divisors (1874839124469).

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

831109369104 is an equidigital number, since it uses as much as digits as its factorization.

831109369104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21734 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 831109369104 in words is "eight hundred thirty-one billion, one hundred nine million, three hundred sixty-nine thousand, one hundred four".