81722631627 has 48 divisors (see below), whose sum is σ = 145809576640. Its totient is φ = 42950704896.

The previous prime is 81722631619. The next prime is 81722631637. The reversal of 81722631627 is 72613622718.

81722631627 is a `hidden beast` number, since 8 + 1 + 7 + 2 + 2 + 631 + 6 + 2 + 7 = 666.

It is not a de Polignac number, because 81722631627 - 2³ = 81722631619 is a prime.

It is not an unprimeable number, because it can be changed into a prime (81722631637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46749 + ... + 406977.

Almost surely, 2^81722631627 is an apocalyptic number.

81722631627 is a deficient number, since it is larger than the sum of its proper divisors (64086945013).

81722631627 is a wasteful number, since it uses less digits than its factorization.

81722631627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360532 (or 360529 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 81722631627 in words is "eighty-one billion, seven hundred twenty-two million, six hundred thirty-one thousand, six hundred twenty-seven".