109782331699968 has 144 divisors (see below), whose sum is σ = 330771059468640. Its totient is φ = 35903655530496.

The previous prime is 109782331699939. The next prime is 109782331699991. The reversal of 109782331699968 is 869996133287901.

109782331699968 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 82 + 331 + 69 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 149471971 + ... + 150204642.

It is an arithmetic number, because the mean of its divisors is an integer number (2297021246310).

Almost surely, 2^{109782331699968} is an apocalyptic number.

109782331699968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109782331699968 is an abundant number, since it is smaller than the sum of its proper divisors (220988727768672).

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

109782331699968 is an equidigital number, since it uses as much as digits as its factorization.

109782331699968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299676691 (or 299676671 counting only the distinct ones).

The product of its (nonzero) digits is 1904684544, while the sum is 81.

The spelling of 109782331699968 in words is "one hundred nine trillion, seven hundred eighty-two billion, three hundred thirty-one million, six hundred ninety-nine thousand, nine hundred sixty-eight".