166000642132311 has 48 divisors (see below), whose sum is σ = 275396554637568. Its totient is φ = 94385655302400.

The previous prime is 166000642132177. The next prime is 166000642132363. The reversal of 166000642132311 is 113231246000661.

166000642132311 is a `hidden beast` number, since 1 + 6 + 6 + 0 + 0 + 0 + 642 + 1 + 3 + 2 + 3 + 1 + 1 = 666.

166000642132311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166000642132311 - 2¹⁷ = 166000642001239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166000642142311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54903340 + ... + 57847886.

It is an arithmetic number, because the mean of its divisors is an integer number (5737428221616).

Almost surely, 2^{166000642132311} is an apocalyptic number.

166000642132311 is a deficient number, since it is larger than the sum of its proper divisors (109395912505257).

166000642132311 is a wasteful number, since it uses less digits than its factorization.

166000642132311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949012 (or 2949009 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 166000642132311 its reverse (113231246000661), we get a palindrome (279231888132972).

The spelling of 166000642132311 in words is "one hundred sixty-six trillion, six hundred forty-two million, one hundred thirty-two thousand, three hundred eleven".