109319023398816 has 1728 divisors, whose sum is σ = 423432885657600. Its totient is φ = 26095842938880.

The previous prime is 109319023398811. The next prime is 109319023398829. The reversal of 109319023398816 is 618893320913901.

109319023398816 is a `hidden beast` number, since 1 + 0 + 9 + 319 + 0 + 233 + 9 + 8 + 81 + 6 = 666.

It is a super-2 number, since 2×109319023398816² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (109319023398811) 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 287 ways as a sum of consecutive naturals, for example, 75968743825 + ... + 75968745263.

It is an arithmetic number, because the mean of its divisors is an integer number (245042179200).

Almost surely, 2^{109319023398816} is an apocalyptic number.

109319023398816 is a gapful number since it is divisible by the number (16) 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 109319023398816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211716442828800).

109319023398816 is an abundant number, since it is smaller than the sum of its proper divisors (314113862258784).

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

109319023398816 is a wasteful number, since it uses less digits than its factorization.

109319023398816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 109319023398816 in words is "one hundred nine trillion, three hundred nineteen billion, twenty-three million, three hundred ninety-eight thousand, eight hundred sixteen".