216194814000 has 720 divisors, whose sum is σ = 878954993280. Its totient is φ = 49319424000.

The previous prime is 216194813941. The next prime is 216194814001. The reversal of 216194814000 is 418491612.

216194814000 is a `hidden beast` number, since 2 + 161 + 94 + 8 + 1 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (216194814001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37023081 + ... + 37028919.

It is an arithmetic number, because the mean of its divisors is an integer number (1220770824).

Almost surely, 2^216194814000 is an apocalyptic number.

216194814000 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 216194814000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439477496640).

216194814000 is an abundant number, since it is smaller than the sum of its proper divisors (662760179280).

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

216194814000 is a wasteful number, since it uses less digits than its factorization.

216194814000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5907 (or 5877 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 216194814000 in words is "two hundred sixteen billion, one hundred ninety-four million, eight hundred fourteen thousand".