108541980916992 has 288 divisors, whose sum is σ = 366871679820800. Its totient is φ = 31008614234112.

The previous prime is 108541980916987. The next prime is 108541980917009. The reversal of 108541980916992 is 299619089145801.

It is a happy number.

108541980916992 is a `hidden beast` number, since 10 + 8 + 541 + 9 + 8 + 0 + 9 + 1 + 69 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 108541980916992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461804559 + ... + 462039537.

Almost surely, 2^{108541980916992} is an apocalyptic number.

108541980916992 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 108541980916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183435839910400).

108541980916992 is an abundant number, since it is smaller than the sum of its proper divisors (258329698903808).

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

108541980916992 is an equidigital number, since it uses as much as digits as its factorization.

108541980916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244558 (or 244538 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 72.

The spelling of 108541980916992 in words is "one hundred eight trillion, five hundred forty-one billion, nine hundred eighty million, nine hundred sixteen thousand, nine hundred ninety-two".