109382361408144 has 80 divisors (see below), whose sum is σ = 342510424626240. Its totient is φ = 33146170122240.

The previous prime is 109382361408091. The next prime is 109382361408149. The reversal of 109382361408144 is 441804163283901.

109382361408144 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 2 + 3 + 614 + 0 + 8 + 14 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (109382361408149) 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 15 ways as a sum of consecutive naturals, for example, 11509082097 + ... + 11509091600.

It is an arithmetic number, because the mean of its divisors is an integer number (4281380307828).

Almost surely, 2^{109382361408144} is an apocalyptic number.

It is an amenable number.

109382361408144 is an abundant number, since it is smaller than the sum of its proper divisors (233128063218096).

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

109382361408144 is a wasteful number, since it uses less digits than its factorization.

109382361408144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23018173725 (or 23018173713 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 109382361408144 in words is "one hundred nine trillion, three hundred eighty-two billion, three hundred sixty-one million, four hundred eight thousand, one hundred forty-four".