221094956628000 has 5184 divisors, whose sum is σ = 1060832862075168. Its totient is φ = 43208382873600.

The previous prime is 221094956627971. The next prime is 221094956628023. The reversal of 221094956628000 is 826659490122.

221094956628000 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 9 + 4 + 9 + 5 + 6 + 628 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 83048154181776 + 138046802446224 = 9113076^2 + 11749332^2 .

It is a super-2 number, since 2×221094956628000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 483796403772 + ... + 483796404228.

Almost surely, 2^{221094956628000} is an apocalyptic number.

221094956628000 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 221094956628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530416431037584).

221094956628000 is an abundant number, since it is smaller than the sum of its proper divisors (839737905447168).

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

221094956628000 is a wasteful number, since it uses less digits than its factorization.

221094956628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 221094956628000 in words is "two hundred twenty-one trillion, ninety-four billion, nine hundred fifty-six million, six hundred twenty-eight thousand".