161175125606004 has 36 divisors (see below), whose sum is σ = 407459277547140. Its totient is φ = 53719189994880.

The previous prime is 161175125605981. The next prime is 161175125606063. The reversal of 161175125606004 is 400606521571161.

161175125606004 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 75 + 12 + 560 + 6 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 81834277212900 + 79340848393104 = 9046230^2 + 8907348^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×161175125606004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243492969 + ... + 244154000.

Almost surely, 2^{161175125606004} is an apocalyptic number.

It is an amenable number.

161175125606004 is an abundant number, since it is smaller than the sum of its proper divisors (246284151941136).

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

161175125606004 is a wasteful number, since it uses less digits than its factorization.

161175125606004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487656160 (or 487656155 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 161175125606004 in words is "one hundred sixty-one trillion, one hundred seventy-five billion, one hundred twenty-five million, six hundred six thousand, four".