109408935168 has 288 divisors, whose sum is σ = 349792826880. Its totient is φ = 33532600320.

The previous prime is 109408935131. The next prime is 109408935179. The reversal of 109408935168 is 861539804901.

109408935168 is a `hidden beast` number, since 1 + 0 + 9 + 40 + 89 + 3 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24348730 + ... + 24353222.

Almost surely, 2^109408935168 is an apocalyptic number.

109408935168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109408935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174896413440).

109408935168 is an abundant number, since it is smaller than the sum of its proper divisors (240383891712).

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

109408935168 is a wasteful number, since it uses less digits than its factorization.

109408935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 109408935168 in words is "one hundred nine billion, four hundred eight million, nine hundred thirty-five thousand, one hundred sixty-eight".