161642577096 has 1152 divisors, whose sum is σ = 648572520960. Its totient is φ = 35610624000.

The previous prime is 161642577073. The next prime is 161642577157. The reversal of 161642577096 is 690775246161.

161642577096 is a `hidden beast` number, since 1 + 6 + 1 + 64 + 2 + 577 + 0 + 9 + 6 = 666.

161642577096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161642577096² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 403098496 + ... + 403098896.

It is an arithmetic number, because the mean of its divisors is an integer number (562996980).

Almost surely, 2^161642577096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161642577096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324286260480).

161642577096 is an abundant number, since it is smaller than the sum of its proper divisors (486929943864).

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

161642577096 is a wasteful number, since it uses less digits than its factorization.

161642577096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 161642577096 in words is "one hundred sixty-one billion, six hundred forty-two million, five hundred seventy-seven thousand, ninety-six".