216237844800 has 378 divisors, whose sum is σ = 811159377678. Its totient is φ = 54627194880.

The previous prime is 216237844793. The next prime is 216237844807. The reversal of 216237844800 is 8448732612.

It is a happy number.

216237844800 is a `hidden beast` number, since 2 + 1 + 62 + 37 + 84 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216237844793) and next prime (216237844807).

It can be written as a sum of positive squares in 3 ways, for example, as 5799127104 + 210438717696 = 76152^2 + 458736^2 .

It is a super-3 number, since 3×216237844800³ (a number of 35 digits) contains 333 as substring.

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 (216237844807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5177602 + ... + 5219198.

Almost surely, 2^216237844800 is an apocalyptic number.

216237844800 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 216237844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405579688839).

216237844800 is an abundant number, since it is smaller than the sum of its proper divisors (594921532878).

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

216237844800 is a wasteful number, since it uses less digits than its factorization.

216237844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41663 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 216237844800 in words is "two hundred sixteen billion, two hundred thirty-seven million, eight hundred forty-four thousand, eight hundred".