221046005000 has 180 divisors, whose sum is σ = 531415279395. Its totient is φ = 86171040000.

The previous prime is 221046004973. The next prime is 221046005029. The reversal of 221046005000 is 500640122.

It is a happy number.

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 23 ways, for example, as 218842453636 + 2203551364 = 467806^2 + 46942^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332450.

It is a super-2 number, since 2×221046005000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2027944946 + ... + 2027945054.

Almost surely, 2^221046005000 is an apocalyptic number.

221046005000 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 221046005000

221046005000 is an abundant number, since it is smaller than the sum of its proper divisors (310369274395).

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

221046005000 is an frugal number, since it uses more digits than its factorization.

221046005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 221046005000 its reverse (500640122), we get a palindrome (221546645122).

The spelling of 221046005000 in words is "two hundred twenty-one billion, forty-six million, five thousand".