161335116000 has 288 divisors, whose sum is σ = 573398699328. Its totient is φ = 42961075200.

The previous prime is 161335115993. The next prime is 161335116053. The reversal of 161335116000 is 611533161.

161335116000 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 3 + 51 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 28689189 + ... + 28694811.

It is an arithmetic number, because the mean of its divisors is an integer number (1990967706).

Almost surely, 2^161335116000 is an apocalyptic number.

161335116000 is a gapful number since it is divisible by the number (10) 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 161335116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286699349664).

161335116000 is an abundant number, since it is smaller than the sum of its proper divisors (412063583328).

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

161335116000 is a wasteful number, since it uses less digits than its factorization.

161335116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6451 (or 6430 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 161335116000 its reverse (611533161), we get a palindrome (161946649161).

The spelling of 161335116000 in words is "one hundred sixty-one billion, three hundred thirty-five million, one hundred sixteen thousand".