8209233510976 has 63 divisors (see below), whose sum is σ = 16679852454681. Its totient is φ = 4008679202304.

The previous prime is 8209233510971. The next prime is 8209233511057. The reversal of 8209233510976 is 6790153329028.

The square root of 8209233510976 is 2865176.

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

It can be written as a sum of positive squares in only one way, i.e., 1009671270976 + 7199562240000 = 1004824^2 + 2683200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8209233510971) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 985616380 + ... + 985624708.

Almost surely, 2^{8209233510976} is an apocalyptic number.

8209233510976 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8209233510976 is the 2865176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8209233510976

8209233510976 is an abundant number, since it is smaller than the sum of its proper divisors (8470618943705).

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

8209233510976 is an frugal number, since it uses more digits than its factorization.

8209233510976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16756 (or 8374 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

It can be divided in two parts, 8209233 and 510976, that added together give a square (8720209 = 2953²).

The spelling of 8209233510976 in words is "eight trillion, two hundred nine billion, two hundred thirty-three million, five hundred ten thousand, nine hundred seventy-six".