161140224000 has 624 divisors, whose sum is σ = 624044899296. Its totient is φ = 36814848000.

The previous prime is 161140223989. The next prime is 161140224013. The reversal of 161140224000 is 422041161.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 75262930 + ... + 75265070.

It is an arithmetic number, because the mean of its divisors is an integer number (1000071954).

Almost surely, 2^161140224000 is an apocalyptic number.

161140224000 is a gapful number since it is divisible by the number (10) 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 161140224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312022449648).

161140224000 is an abundant number, since it is smaller than the sum of its proper divisors (462904675296).

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

161140224000 is an equidigital number, since it uses as much as digits as its factorization.

161140224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 161140224000 its reverse (422041161), we get a palindrome (161562265161).

The spelling of 161140224000 in words is "one hundred sixty-one billion, one hundred forty million, two hundred twenty-four thousand".