109259522641984 has 189 divisors, whose sum is σ = 258084091714071. Its totient is φ = 45838139043840.

The previous prime is 109259522641981. The next prime is 109259522642009. The reversal of 109259522641984 is 489146225952901.

The square root of 109259522641984 is 10452728.

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

It can be written as a sum of positive squares in 4 ways, for example, as 84293111352384 + 24966411289600 = 9181128^2 + 4996640^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109259522641981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11957916264 + ... + 11957925400.

Almost surely, 2^{109259522641984} is an apocalyptic number.

109259522641984 is the 10452728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109259522641984

109259522641984 is an abundant number, since it is smaller than the sum of its proper divisors (148824569072087).

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

109259522641984 is an frugal number, since it uses more digits than its factorization.

109259522641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18334 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 67.

The spelling of 109259522641984 in words is "one hundred nine trillion, two hundred fifty-nine billion, five hundred twenty-two million, six hundred forty-one thousand, nine hundred eighty-four".