221626275984 has 135 divisors (see below), whose sum is σ = 644512214073. Its totient is φ = 73824581952.

The previous prime is 221626275977. The next prime is 221626276013. The reversal of 221626275984 is 489572626122.

The square root of 221626275984 is 470772.

It is a perfect power (a square), and thus also a powerful number.

221626275984 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 2 + 627 + 5 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 216169203600 + 5457072384 = 464940^2 + 73872^2 .

It is a super-2 number, since 2×221626275984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 221626275984.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152529402 + ... + 152530854.

Almost surely, 2^221626275984 is an apocalyptic number.

221626275984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

221626275984 is the 470772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221626275984

221626275984 is an abundant number, since it is smaller than the sum of its proper divisors (422885938089).

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

221626275984 is an frugal number, since it uses more digits than its factorization.

221626275984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938 (or 1458 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 221626275984 in words is "two hundred twenty-one billion, six hundred twenty-six million, two hundred seventy-five thousand, nine hundred eighty-four".