161844415680 has 224 divisors, whose sum is σ = 532211523840. Its totient is φ = 41620418560.

The previous prime is 161844415669. The next prime is 161844415751. The reversal of 161844415680 is 86514448161.

161844415680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161844415680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27029647 + ... + 27035633.

Almost surely, 2^161844415680 is an apocalyptic number.

161844415680 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 161844415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266105761920).

161844415680 is an abundant number, since it is smaller than the sum of its proper divisors (370367108160).

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

161844415680 is a wasteful number, since it uses less digits than its factorization.

161844415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 161844415680 in words is "one hundred sixty-one billion, eight hundred forty-four million, four hundred fifteen thousand, six hundred eighty".