32261311316223 has 192 divisors, whose sum is σ = 54035123410944. Its totient is φ = 18357356160000.

The previous prime is 32261311316161. The next prime is 32261311316231.

32261311316223 is a `hidden beast` number, since 3 + 2 + 2 + 6 + 1 + 311 + 316 + 2 + 23 = 666.

32261311316223 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32261311316223 - 2⁸ = 32261311315967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32261311314223) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23360832993 + ... + 23360834373.

It is an arithmetic number, because the mean of its divisors is an integer number (281432934432).

Almost surely, 2^{32261311316223} is an apocalyptic number.

32261311316223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32261311316223 is a deficient number, since it is larger than the sum of its proper divisors (21773812094721).

32261311316223 is a wasteful number, since it uses less digits than its factorization.

32261311316223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2323 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 32261311316223 in words is "thirty-two trillion, two hundred sixty-one billion, three hundred eleven million, three hundred sixteen thousand, two hundred twenty-three".