108968198976 has 336 divisors, whose sum is σ = 384991221888. Its totient is φ = 28695859200.

The previous prime is 108968198953. The next prime is 108968199019. The reversal of 108968198976 is 679891869801.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50894866 + ... + 50897006.

It is an arithmetic number, because the mean of its divisors is an integer number (1145807208).

Almost surely, 2^108968198976 is an apocalyptic number.

108968198976 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 108968198976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192495610944).

108968198976 is an abundant number, since it is smaller than the sum of its proper divisors (276023022912).

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

108968198976 is a wasteful number, since it uses less digits than its factorization.

108968198976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3150 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 108968198976 in words is "one hundred eight billion, nine hundred sixty-eight million, one hundred ninety-eight thousand, nine hundred seventy-six".