161606110000032 has 144 divisors (see below), whose sum is σ = 463672230125832. Its totient is φ = 53388822896640.

The previous prime is 161606109999989. The next prime is 161606110000037. The reversal of 161606110000032 is 230000011606161.

161606110000032 is a `hidden beast` number, since 1 + 6 + 16 + 0 + 611 + 0 + 0 + 0 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114124694263056 + 47481415736976 = 10682916^2 + 6890676^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×161606110000032² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161606109999960 and 161606110000005.

It is not an unprimeable number, because it can be changed into a prime (161606110000037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21025182 + ... + 27663522.

Almost surely, 2^{161606110000032} is an apocalyptic number.

161606110000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161606110000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231836115062916).

161606110000032 is an abundant number, since it is smaller than the sum of its proper divisors (302066120125800).

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

161606110000032 is a wasteful number, since it uses less digits than its factorization.

161606110000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639111 (or 6639100 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 161606110000032 its reverse (230000011606161), we get a palindrome (391606121606193).

The spelling of 161606110000032 in words is "one hundred sixty-one trillion, six hundred six billion, one hundred ten million, thirty-two", and thus it is an aban number.