161642012224 has 168 divisors, whose sum is σ = 407488753728. Its totient is φ = 62909199360.

The previous prime is 161642012197. The next prime is 161642012227. The reversal of 161642012224 is 422210246161.

It is a super-2 number, since 2×161642012224² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161642012227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41841717 + ... + 41845579.

It is an arithmetic number, because the mean of its divisors is an integer number (2425528296).

Almost surely, 2^161642012224 is an apocalyptic number.

161642012224 is a gapful number since it is divisible by the number (14) 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 161642012224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203744376864).

161642012224 is an abundant number, since it is smaller than the sum of its proper divisors (245846741504).

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

161642012224 is a wasteful number, since it uses less digits than its factorization.

161642012224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 161642012224 its reverse (422210246161), we get a palindrome (583852258385).

The spelling of 161642012224 in words is "one hundred sixty-one billion, six hundred forty-two million, twelve thousand, two hundred twenty-four".