108933414912 has 504 divisors, whose sum is σ = 384734933856. Its totient is φ = 28991029248.

The previous prime is 108933414901. The next prime is 108933414923. The reversal of 108933414912 is 219414339801.

108933414912 is a `hidden beast` number, since 10 + 89 + 33 + 41 + 491 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (108933414901) and next prime (108933414923).

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123024848 + ... + 1123024944.

It is an arithmetic number, because the mean of its divisors is an integer number (763362964).

Almost surely, 2^108933414912 is an apocalyptic number.

108933414912 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 108933414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192367466928).

108933414912 is an abundant number, since it is smaller than the sum of its proper divisors (275801518944).

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

108933414912 is an frugal number, since it uses more digits than its factorization.

108933414912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 108933414912 in words is "one hundred eight billion, nine hundred thirty-three million, four hundred fourteen thousand, nine hundred twelve".