109832663691664 has 135 divisors (see below), whose sum is σ = 221461552423179. Its totient is φ = 52766924575680.

The previous prime is 109832663691637. The next prime is 109832663691761. The reversal of 109832663691664 is 466196366238901.

It is a happy number.

The square root of 109832663691664 is 10480108.

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

It is a junction number, because it is equal to n+sod(n) for n = 109832663691593 and 109832663691602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 289795946227 + ... + 289795946605.

Almost surely, 2^{109832663691664} is an apocalyptic number.

109832663691664 is the 10480108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109832663691664

109832663691664 is an abundant number, since it is smaller than the sum of its proper divisors (111628888731515).

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

109832663691664 is an frugal number, since it uses more digits than its factorization.

109832663691664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 70.

The spelling of 109832663691664 in words is "one hundred nine trillion, eight hundred thirty-two billion, six hundred sixty-three million, six hundred ninety-one thousand, six hundred sixty-four".