161793567936 has 1344 divisors, whose sum is σ = 680949534720. Its totient is φ = 36682813440.

The previous prime is 161793567911. The next prime is 161793567941. The reversal of 161793567936 is 639765397161.

161793567936 is a `hidden beast` number, since 1 + 61 + 7 + 9 + 3 + 567 + 9 + 3 + 6 = 666.

161793567936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×161793567936² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 295783215 + ... + 295783761.

It is an arithmetic number, because the mean of its divisors is an integer number (506658880).

Almost surely, 2^161793567936 is an apocalyptic number.

161793567936 is a gapful number since it is divisible by the number (16) 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 161793567936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340474767360).

161793567936 is an abundant number, since it is smaller than the sum of its proper divisors (519155966784).

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

161793567936 is a wasteful number, since it uses less digits than its factorization.

161793567936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 602 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The spelling of 161793567936 in words is "one hundred sixty-one billion, seven hundred ninety-three million, five hundred sixty-seven thousand, nine hundred thirty-six".