221890427136 has 432 divisors, whose sum is σ = 773053881600. Its totient is φ = 62587219968.

The previous prime is 221890427081. The next prime is 221890427137. The reversal of 221890427136 is 631724098122.

221890427136 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 90 + 427 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 221890427091 and 221890427100.

It is not an unprimeable number, because it can be changed into a prime (221890427137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26752206 + ... + 26760498.

Almost surely, 2^221890427136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221890427136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386526940800).

221890427136 is an abundant number, since it is smaller than the sum of its proper divisors (551163454464).

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

221890427136 is an equidigital number, since it uses as much as digits as its factorization.

221890427136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8384 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 221890427136 in words is "two hundred twenty-one billion, eight hundred ninety million, four hundred twenty-seven thousand, one hundred thirty-six".