161484774162432 has 2880 divisors, whose sum is σ = 588293831784960. Its totient is φ = 39001994035200.

The previous prime is 161484774162427. The next prime is 161484774162433. The reversal of 161484774162432 is 234261477484161.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161484774162433) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1945599688663 + ... + 1945599688745.

It is an arithmetic number, because the mean of its divisors is an integer number (204268691592).

Almost surely, 2^{161484774162432} is an apocalyptic number.

161484774162432 is a gapful number since it is divisible by the number (12) 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 161484774162432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294146915892480).

161484774162432 is an abundant number, since it is smaller than the sum of its proper divisors (426809057622528).

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

161484774162432 is a wasteful number, since it uses less digits than its factorization.

161484774162432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 233 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 60.

The spelling of 161484774162432 in words is "one hundred sixty-one trillion, four hundred eighty-four billion, seven hundred seventy-four million, one hundred sixty-two thousand, four hundred thirty-two".