109816923133449 has 135 divisors (see below), whose sum is σ = 192099937980951. Its totient is φ = 62337922224480.

The previous prime is 109816923133441. The next prime is 109816923133507. The reversal of 109816923133449 is 944331329618901.

It is a happy number.

The square root of 109816923133449 is 10479357.

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

109816923133449 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 1 + 69 + 231 + 334 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1210094601849 + 108606828531600 = 1100043^2 + 10421460^2 .

It is not a de Polignac number, because 109816923133449 - 2³ = 109816923133441 is a prime.

It is a super-2 number, since 2×109816923133449² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (109816923133441) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 119496107412 + ... + 119496108330.

Almost surely, 2^{109816923133449} is an apocalyptic number.

109816923133449 is the 10479357-th square number.

109816923133449 is the 5239679-th centered octagonal number.

It is an amenable number.

109816923133449 is a deficient number, since it is larger than the sum of its proper divisors (82283014847502).

109816923133449 is an frugal number, since it uses more digits than its factorization.

109816923133449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 109816923133449 in words is "one hundred nine trillion, eight hundred sixteen billion, nine hundred twenty-three million, one hundred thirty-three thousand, four hundred forty-nine".