109997491968 has 1152 divisors, whose sum is σ = 432509091840. Its totient is φ = 27088846848.

The previous prime is 109997491931. The next prime is 109997492009. The reversal of 109997491968 is 869194799901.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 109997491896 and 109997491905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 866121921 + ... + 866122047.

It is an arithmetic number, because the mean of its divisors is an integer number (375441920).

Almost surely, 2^109997491968 is an apocalyptic number.

109997491968 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 109997491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216254545920).

109997491968 is an abundant number, since it is smaller than the sum of its proper divisors (322511599872).

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

109997491968 is an equidigital number, since it uses as much as digits as its factorization.

109997491968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 79361856, while the sum is 72.

The spelling of 109997491968 in words is "one hundred nine billion, nine hundred ninety-seven million, four hundred ninety-one thousand, nine hundred sixty-eight".