108894240000 has 1440 divisors, whose sum is σ = 497043895040. Its totient is φ = 22892544000.

The previous prime is 108894239999. The next prime is 108894240023. The reversal of 108894240000 is 42498801.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×108894240000⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 393119862 + ... + 393120138.

Almost surely, 2^108894240000 is an apocalyptic number.

108894240000 is a gapful number since it is divisible by the number (10) 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 108894240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248521947520).

108894240000 is an abundant number, since it is smaller than the sum of its proper divisors (388149655040).

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

108894240000 is an equidigital number, since it uses as much as digits as its factorization.

108894240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 108894240000 in words is "one hundred eight billion, eight hundred ninety-four million, two hundred forty thousand".