8231949648 has 210 divisors, whose sum is σ = 25863639326. Its totient is φ = 2522036736.

The previous prime is 8231949643. The next prime is 8231949659. The reversal of 8231949648 is 8469491328.

8231949648 is a `hidden beast` number, since 82 + 31 + 9 + 496 + 48 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 118984464 + 8112965184 = 10908^2 + 90072^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 8231949594 and 8231949603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8231949641) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35330140 + ... + 35330372.

Almost surely, 2^8231949648 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 8231949648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931819663).

8231949648 is an abundant number, since it is smaller than the sum of its proper divisors (17631689678).

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

8231949648 is an equidigital number, since it uses as much as digits as its factorization.

8231949648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 251 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 8231949648 is about 90730.0922957758. The cubic root of 8231949648 is about 2019.1452816334.

The spelling of 8231949648 in words is "eight billion, two hundred thirty-one million, nine hundred forty-nine thousand, six hundred forty-eight".