161668346112 has 432 divisors, whose sum is σ = 575100559488. Its totient is φ = 42533683200.

The previous prime is 161668346107. The next prime is 161668346123. The reversal of 161668346112 is 211643866161.

161668346112 is a `hidden beast` number, since 16 + 16 + 6 + 8 + 3 + 4 + 611 + 2 = 666.

It is a super-2 number, since 2×161668346112² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126007423 + ... + 126008705.

Almost surely, 2^161668346112 is an apocalyptic number.

161668346112 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 161668346112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287550279744).

161668346112 is an abundant number, since it is smaller than the sum of its proper divisors (413432213376).

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

161668346112 is a wasteful number, since it uses less digits than its factorization.

161668346112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1909 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 161668346112 in words is "one hundred sixty-one billion, six hundred sixty-eight million, three hundred forty-six thousand, one hundred twelve".