221422004536041 has 24 divisors (see below), whose sum is σ = 327649433234760. Its totient is φ = 144006894892800.

The previous prime is 221422004536013. The next prime is 221422004536069. The reversal of 221422004536041 is 140635400224122.

221422004536041 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 2 + 2 + 0 + 0 + 45 + 3 + 604 + 1 = 666.

221422004536041 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221422004536013) and next prime (221422004536069).

It can be written as a sum of positive squares in 4 ways, for example, as 50169186486441 + 171252818049600 = 7083021^2 + 13086360^2 .

It is not a de Polignac number, because 221422004536041 - 2⁵ = 221422004536009 is a prime.

It is a super-2 number, since 2×221422004536041² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221422004535987 and 221422004536005.

It is not an unprimeable number, because it can be changed into a prime (221422004532041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8273070 + ... + 22611671.

It is an arithmetic number, because the mean of its divisors is an integer number (13652059718115).

Almost surely, 2^{221422004536041} is an apocalyptic number.

It is an amenable number.

221422004536041 is a deficient number, since it is larger than the sum of its proper divisors (106227428698719).

221422004536041 is a wasteful number, since it uses less digits than its factorization.

221422004536041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30904217 (or 30904214 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 221422004536041 in words is "two hundred twenty-one trillion, four hundred twenty-two billion, four million, five hundred thirty-six thousand, forty-one".