2184114848000 has 288 divisors, whose sum is σ = 5767010016768. Its totient is φ = 821391360000.

The previous prime is 2184114847979. The next prime is 2184114848029. The reversal of 2184114848000 is 8484114812.

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, 789342617 + ... + 789345383.

It is an arithmetic number, because the mean of its divisors is an integer number (20024340336).

Almost surely, 2^{2184114848000} is an apocalyptic number.

2184114848000 is a gapful number since it is divisible by the number (20) 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 2184114848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2883505008384).

2184114848000 is an abundant number, since it is smaller than the sum of its proper divisors (3582895168768).

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

2184114848000 is a wasteful number, since it uses less digits than its factorization.

2184114848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 41.

The spelling of 2184114848000 in words is "two trillion, one hundred eighty-four billion, one hundred fourteen million, eight hundred forty-eight thousand".