161346314395392 has 288 divisors, whose sum is σ = 519445424709120. Its totient is φ = 43431396065280.

The previous prime is 161346314395379. The next prime is 161346314395393. The reversal of 161346314395392 is 293593413643161.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161346314395393) 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, 14124538 + ... + 22851590.

Almost surely, 2^{161346314395392} is an apocalyptic number.

161346314395392 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 161346314395392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259722712354560).

161346314395392 is an abundant number, since it is smaller than the sum of its proper divisors (358099110313728).

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

161346314395392 is a wasteful number, since it uses less digits than its factorization.

161346314395392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727279 (or 8727265 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 60.

The spelling of 161346314395392 in words is "one hundred sixty-one trillion, three hundred forty-six billion, three hundred fourteen million, three hundred ninety-five thousand, three hundred ninety-two".