8209118904336 has 405 divisors, whose sum is σ = 27956337990399. Its totient is φ = 2241973109376.

The previous prime is 8209118904289. The next prime is 8209118904361. The reversal of 8209118904336 is 6334098119028.

The square root of 8209118904336 is 2865156.

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

8209118904336 is a `hidden beast` number, since 8 + 2 + 0 + 9 + 118 + 90 + 433 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5535480651 + ... + 5535482133.

Almost surely, 2^{8209118904336} is an apocalyptic number.

8209118904336 is the 2865156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8209118904336

8209118904336 is an abundant number, since it is smaller than the sum of its proper divisors (19747219086063).

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

8209118904336 is a wasteful number, since it uses less digits than its factorization.

8209118904336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 8209118904336 in words is "eight trillion, two hundred nine billion, one hundred eighteen million, nine hundred four thousand, three hundred thirty-six".