161744531619840 has 576 divisors, whose sum is σ = 559180764890496. Its totient is φ = 39686454116352.

The previous prime is 161744531619833. The next prime is 161744531619863. The reversal of 161744531619840 is 48916135447161.

It is a super-2 number, since 2×161744531619840² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8102205699 + ... + 8102225661.

It is an arithmetic number, because the mean of its divisors is an integer number (970799939046).

Almost surely, 2^{161744531619840} is an apocalyptic number.

161744531619840 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 161744531619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279590382445248).

161744531619840 is an abundant number, since it is smaller than the sum of its proper divisors (397436233270656).

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

161744531619840 is an equidigital number, since it uses as much as digits as its factorization.

161744531619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20335 (or 20303 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 161744531619840 in words is "one hundred sixty-one trillion, seven hundred forty-four billion, five hundred thirty-one million, six hundred nineteen thousand, eight hundred forty".