161606010565072 has 80 divisors (see below), whose sum is σ = 324778169898000. Its totient is φ = 77807341043712.

The previous prime is 161606010565019. The next prime is 161606010565079. The reversal of 161606010565072 is 270565010606161.

It can be written as a sum of positive squares in 8 ways, for example, as 329319890496 + 161276690674576 = 573864^2 + 12699476^2 .

It is a super-2 number, since 2×161606010565072² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161606010565079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810813204 + ... + 811012492.

It is an arithmetic number, because the mean of its divisors is an integer number (4059727123725).

Almost surely, 2^{161606010565072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161606010565072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162389084949000).

161606010565072 is an abundant number, since it is smaller than the sum of its proper divisors (163172159332928).

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

161606010565072 is a wasteful number, since it uses less digits than its factorization.

161606010565072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204008 (or 204002 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 161606010565072 in words is "one hundred sixty-one trillion, six hundred six billion, ten million, five hundred sixty-five thousand, seventy-two".