109149255072 has 1152 divisors, whose sum is σ = 410847510528. Its totient is φ = 26962329600.

The previous prime is 109149255049. The next prime is 109149255097. The reversal of 109149255072 is 270552941901.

109149255072 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 4 + 92 + 550 + 7 + 2 = 666.

109149255072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1020086443 + ... + 1020086549.

It is an arithmetic number, because the mean of its divisors is an integer number (356638464).

Almost surely, 2^109149255072 is an apocalyptic number.

109149255072 is a gapful number since it is divisible by the number (12) 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 109149255072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205423755264).

109149255072 is an abundant number, since it is smaller than the sum of its proper divisors (301698255456).

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

109149255072 is a wasteful number, since it uses less digits than its factorization.

109149255072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 109149255072 in words is "one hundred nine billion, one hundred forty-nine million, two hundred fifty-five thousand, seventy-two".