216400336992000 has 6912 divisors, whose sum is σ = 1025118883676160. Its totient is φ = 44681269248000.

The previous prime is 216400336991957. The next prime is 216400336992001. The reversal of 216400336992000 is 299633004612.

216400336992000 is a `hidden beast` number, since 2 + 1 + 6 + 400 + 3 + 36 + 9 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216400336992001) by changing a digit.

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 767 ways as a sum of consecutive naturals, for example, 2022433055947 + ... + 2022433056053.

It is an arithmetic number, because the mean of its divisors is an integer number (148310023680).

Almost surely, 2^{216400336992000} is an apocalyptic number.

216400336992000 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 216400336992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512559441838080).

216400336992000 is an abundant number, since it is smaller than the sum of its proper divisors (808718546684160).

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

216400336992000 is a wasteful number, since it uses less digits than its factorization.

216400336992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

Adding to 216400336992000 its reverse (299633004612), we get a palindrome (216699969996612).

The spelling of 216400336992000 in words is "two hundred sixteen trillion, four hundred billion, three hundred thirty-six million, nine hundred ninety-two thousand".