221735632113 has 16 divisors (see below), whose sum is σ = 345786561600. Its totient is φ = 140043556800.

The previous prime is 221735632073. The next prime is 221735632117. The reversal of 221735632113 is 311236537122.

221735632113 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 3 + 5 + 632 + 1 + 13 = 666.

It is not a de Polignac number, because 221735632113 - 2²⁴ = 221718854897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221735632117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216116088 + ... + 216117113.

It is an arithmetic number, because the mean of its divisors is an integer number (21611660100).

Almost surely, 2^221735632113 is an apocalyptic number.

It is an amenable number.

221735632113 is a deficient number, since it is larger than the sum of its proper divisors (124050929487).

221735632113 is a wasteful number, since it uses less digits than its factorization.

221735632113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432233229 (or 432233223 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 221735632113 in words is "two hundred twenty-one billion, seven hundred thirty-five million, six hundred thirty-two thousand, one hundred thirteen".