221137032768 has 56 divisors (see below), whose sum is σ = 585871198080. Its totient is φ = 73614144000.

The previous prime is 221137032763. The next prime is 221137032791. The reversal of 221137032768 is 867230731122.

It is a happy number.

221137032768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221137032768² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221137032763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 622623 + ... + 911006.

It is an arithmetic number, because the mean of its divisors is an integer number (10461985680).

Almost surely, 2^221137032768 is an apocalyptic number.

It is an amenable number.

221137032768 is an abundant number, since it is smaller than the sum of its proper divisors (364734165312).

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

221137032768 is a wasteful number, since it uses less digits than its factorization.

221137032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534395 (or 1534385 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 221137032768 in words is "two hundred twenty-one billion, one hundred thirty-seven million, thirty-two thousand, seven hundred sixty-eight".