182561361984 has 189 divisors, whose sum is σ = 552859749117. Its totient is φ = 57589429248.

The previous prime is 182561361979. The next prime is 182561362013. The reversal of 182561361984 is 489163165281.

It is a happy number.

The square root of 182561361984 is 427272.

It is a perfect power (a square), and thus also a powerful number.

182561361984 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 6 + 13 + 619 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9611841600 + 172949520384 = 98040^2 + 415872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 182561361984.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194835564 + ... + 194836500.

Almost surely, 2^182561361984 is an apocalyptic number.

182561361984 is the 427272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182561361984

182561361984 is an abundant number, since it is smaller than the sum of its proper divisors (370298387133).

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

182561361984 is an frugal number, since it uses more digits than its factorization.

182561361984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 961 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The spelling of 182561361984 in words is "one hundred eighty-two billion, five hundred sixty-one million, three hundred sixty-one thousand, nine hundred eighty-four".