161622216000 has 1568 divisors, whose sum is σ = 710961069312. Its totient is φ = 35607859200.

The previous prime is 161622215983. The next prime is 161622216013. The reversal of 161622216000 is 612226161.

161622216000 is a `hidden beast` number, since 1 + 6 + 16 + 22 + 21 + 600 + 0 = 666.

It is a super-2 number, since 2×161622216000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 223 ways as a sum of consecutive naturals, for example, 1510487947 + ... + 1510488053.

Almost surely, 2^161622216000 is an apocalyptic number.

161622216000 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 161622216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355480534656).

161622216000 is an abundant number, since it is smaller than the sum of its proper divisors (549338853312).

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

161622216000 is an equidigital number, since it uses as much as digits as its factorization.

161622216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 161622216000 in words is "one hundred sixty-one billion, six hundred twenty-two million, two hundred sixteen thousand".