221738041800 has 324 divisors, whose sum is σ = 819333877635. Its totient is φ = 53701401600.

The previous prime is 221738041793. The next prime is 221738041853. The reversal of 221738041800 is 8140837122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 41135141124 + 180602900676 = 202818^2 + 424974^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332970.

It is a super-3 number, since 3×221738041800³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 219759696 + ... + 219760704.

Almost surely, 2^221738041800 is an apocalyptic number.

221738041800 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 221738041800

221738041800 is an abundant number, since it is smaller than the sum of its proper divisors (597595835835).

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

221738041800 is a wasteful number, since it uses less digits than its factorization.

221738041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Adding to 221738041800 its reverse (8140837122), we get a palindrome (229878878922).

The spelling of 221738041800 in words is "two hundred twenty-one billion, seven hundred thirty-eight million, forty-one thousand, eight hundred".