161352838665312 has 192 divisors, whose sum is σ = 489685418901504. Its totient is φ = 45566860884480.

The previous prime is 161352838665289. The next prime is 161352838665313. The reversal of 161352838665312 is 213566838253161.

It is a super-4 number, since 4×161352838665312⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161352838665313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29320737 + ... + 34386207.

It is an arithmetic number, because the mean of its divisors is an integer number (2550444890112).

Almost surely, 2^{161352838665312} is an apocalyptic number.

161352838665312 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 161352838665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244842709450752).

161352838665312 is an abundant number, since it is smaller than the sum of its proper divisors (328332580236192).

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

161352838665312 is a wasteful number, since it uses less digits than its factorization.

161352838665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066041 (or 5066033 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 60.

The spelling of 161352838665312 in words is "one hundred sixty-one trillion, three hundred fifty-two billion, eight hundred thirty-eight million, six hundred sixty-five thousand, three hundred twelve".