221432217601575 has 96 divisors (see below), whose sum is σ = 376861246836480. Its totient is φ = 114680510208000.

The previous prime is 221432217601541. The next prime is 221432217601589. The reversal of 221432217601575 is 575106712234122.

It is not a de Polignac number, because 221432217601575 - 2²⁵ = 221432184047143 is a prime.

It is a super-2 number, since 2×221432217601575² (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 95 ways as a sum of consecutive naturals, for example, 192946404 + ... + 194090646.

It is an arithmetic number, because the mean of its divisors is an integer number (3925637987880).

Almost surely, 2^{221432217601575} is an apocalyptic number.

221432217601575 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

221432217601575 is a deficient number, since it is larger than the sum of its proper divisors (155429029234905).

221432217601575 is a wasteful number, since it uses less digits than its factorization.

221432217601575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144849 (or 1144844 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

Adding to 221432217601575 its reverse (575106712234122), we get a palindrome (796538929835697).

The spelling of 221432217601575 in words is "two hundred twenty-one trillion, four hundred thirty-two billion, two hundred seventeen million, six hundred one thousand, five hundred seventy-five".