8313103872 has 240 divisors, whose sum is σ = 25150004880. Its totient is φ = 2741133312.

The previous prime is 8313103787. The next prime is 8313103889. The reversal of 8313103872 is 2783013138.

It is a super-2 number, since 2×8313103872² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13561038 + ... + 13561650.

It is an arithmetic number, because the mean of its divisors is an integer number (104791687).

Almost surely, 2^8313103872 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 8313103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575002440).

8313103872 is an abundant number, since it is smaller than the sum of its proper divisors (16836901008).

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

8313103872 is an equidigital number, since it uses as much as digits as its factorization.

8313103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8313103872 is about 91176.2242692688. The cubic root of 8313103872 is about 2025.7588069827.

The spelling of 8313103872 in words is "eight billion, three hundred thirteen million, one hundred three thousand, eight hundred seventy-two".