2216314333800 has 1152 divisors, whose sum is σ = 9570196396800. Its totient is φ = 447857786880.

The previous prime is 2216314333769. The next prime is 2216314333801. The reversal of 2216314333800 is 83334136122.

2216314333800 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 314 + 3 + 338 + 0 + 0 = 666.

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 (2216314333801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229831779 + ... + 229841421.

It is an arithmetic number, because the mean of its divisors is an integer number (8307462150).

Almost surely, 2^{2216314333800} is an apocalyptic number.

2216314333800 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 2216314333800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785098198400).

2216314333800 is an abundant number, since it is smaller than the sum of its proper divisors (7353882063000).

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

2216314333800 is a wasteful number, since it uses less digits than its factorization.

2216314333800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 2216314333800 its reverse (83334136122), we get a palindrome (2299648469922).

The spelling of 2216314333800 in words is "two trillion, two hundred sixteen billion, three hundred fourteen million, three hundred thirty-three thousand, eight hundred".