161313041026242 has 512 divisors, whose sum is σ = 429518331002880. Its totient is φ = 43932844800000.

The previous prime is 161313041026157. The next prime is 161313041026307. The reversal of 161313041026242 is 242620140313161.

161313041026242 is a `hidden beast` number, since 1 + 6 + 1 + 3 + 1 + 304 + 102 + 6 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 161313041026197 and 161313041026206.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25359695142 + ... + 25359701502.

It is an arithmetic number, because the mean of its divisors is an integer number (838902990240).

Almost surely, 2^{161313041026242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161313041026242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214759165501440).

161313041026242 is an abundant number, since it is smaller than the sum of its proper divisors (268205289976638).

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

161313041026242 is a wasteful number, since it uses less digits than its factorization.

161313041026242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6767 (or 6761 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 161313041026242 in words is "one hundred sixty-one trillion, three hundred thirteen billion, forty-one million, twenty-six thousand, two hundred forty-two".