109984241664000 has 3360 divisors, whose sum is σ = 463679261502912. Its totient is φ = 25798901760000.

The previous prime is 109984241663983. The next prime is 109984241664047. The reversal of 109984241664000 is 466142489901.

109984241664000 is a `hidden beast` number, since 1 + 0 + 99 + 84 + 2 + 416 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 607647743910 + ... + 607647744090.

Almost surely, 2^{109984241664000} is an apocalyptic number.

109984241664000 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 109984241664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231839630751456).

109984241664000 is an abundant number, since it is smaller than the sum of its proper divisors (353695019838912).

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

109984241664000 is an frugal number, since it uses more digits than its factorization.

109984241664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 109984241664000 in words is "one hundred nine trillion, nine hundred eighty-four billion, two hundred forty-one million, six hundred sixty-four thousand".