161617418144 has 480 divisors, whose sum is σ = 422630296704. Its totient is φ = 60408391680.

The previous prime is 161617418063. The next prime is 161617418161. The reversal of 161617418144 is 441814716161.

It is a super-2 number, since 2×161617418144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161617418095 and 161617418104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2276301629 + ... + 2276301699.

Almost surely, 2^161617418144 is an apocalyptic number.

161617418144 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 161617418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211315148352).

161617418144 is an abundant number, since it is smaller than the sum of its proper divisors (261012878560).

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

161617418144 is an equidigital number, since it uses as much as digits as its factorization.

161617418144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 189 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The spelling of 161617418144 in words is "one hundred sixty-one billion, six hundred seventeen million, four hundred eighteen thousand, one hundred forty-four".