109412185760784 has 135 divisors (see below), whose sum is σ = 308470090077279. Its totient is φ = 36202575309120.

The previous prime is 109412185760777. The next prime is 109412185760797. The reversal of 109412185760784 is 487067581214901.

The square root of 109412185760784 is 10460028.

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

109412185760784 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 1 + 2 + 18 + 5 + 7 + 607 + 8 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17447323569 + ... + 17447329839.

Almost surely, 2^{109412185760784} is an apocalyptic number.

109412185760784 is the 10460028-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109412185760784

109412185760784 is an abundant number, since it is smaller than the sum of its proper divisors (199057904316495).

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

109412185760784 is an frugal number, since it uses more digits than its factorization.

109412185760784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12834 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 109412185760784 in words is "one hundred nine trillion, four hundred twelve billion, one hundred eighty-five million, seven hundred sixty thousand, seven hundred eighty-four".