216004124644000 has 384 divisors, whose sum is σ = 677818109090304. Its totient is φ = 65683860480000.

The previous prime is 216004124643997. The next prime is 216004124644013. The reversal of 216004124644000 is 446421400612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4075414 + ... + 21180586.

It is an arithmetic number, because the mean of its divisors is an integer number (1765151325756).

Almost surely, 2^{216004124644000} is an apocalyptic number.

216004124644000 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 216004124644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338909054545152).

216004124644000 is an abundant number, since it is smaller than the sum of its proper divisors (461813984446304).

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

216004124644000 is a wasteful number, since it uses less digits than its factorization.

216004124644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17105257 (or 17105239 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 216004124644000 in words is "two hundred sixteen trillion, four billion, one hundred twenty-four million, six hundred forty-four thousand".