166471643761 has 48 divisors (see below), whose sum is σ = 185956752240. Its totient is φ = 148800798720.

The previous prime is 166471643747. The next prime is 166471643777. The reversal of 166471643761 is 167346174661.

It can be written as a sum of positive squares in 24 ways, for example, as 46673281600 + 119798362161 = 216040^2 + 346119^2 .

It is not a de Polignac number, because 166471643761 - 2²⁹ = 165934772849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166471643699 and 166471643708.

It is not an unprimeable number, because it can be changed into a prime (166471643711) 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, 156900171 + ... + 156901231.

It is an arithmetic number, because the mean of its divisors is an integer number (3874099005).

Almost surely, 2^166471643761 is an apocalyptic number.

It is an amenable number.

166471643761 is a deficient number, since it is larger than the sum of its proper divisors (19485108479).

166471643761 is a wasteful number, since it uses less digits than its factorization.

166471643761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1397 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The spelling of 166471643761 in words is "one hundred sixty-six billion, four hundred seventy-one million, six hundred forty-three thousand, seven hundred sixty-one".