161983759392 has 288 divisors, whose sum is σ = 591865747200. Its totient is φ = 42720846336.

The previous prime is 161983759349. The next prime is 161983759403. The reversal of 161983759392 is 293957389161.

161983759392 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 8 + 37 + 593 + 9 + 2 = 666.

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

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

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, 403209 + ... + 697527.

It is an arithmetic number, because the mean of its divisors is an integer number (2055089400).

Almost surely, 2^161983759392 is an apocalyptic number.

161983759392 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 161983759392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295932873600).

161983759392 is an abundant number, since it is smaller than the sum of its proper divisors (429881987808).

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

161983759392 is a wasteful number, since it uses less digits than its factorization.

161983759392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294365 (or 294344 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 161983759392 in words is "one hundred sixty-one billion, nine hundred eighty-three million, seven hundred fifty-nine thousand, three hundred ninety-two".