182572471224 has 768 divisors, whose sum is σ = 624117312000. Its totient is φ = 47451156480.

The previous prime is 182572471201. The next prime is 182572471243. The reversal of 182572471224 is 422174275281.

182572471224 is a `hidden beast` number, since 1 + 8 + 2 + 572 + 4 + 71 + 2 + 2 + 4 = 666.

It is a Cunningham number, because it is equal to 427285²-1.

It is a super-4 number, since 4×182572471224⁴ (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 182572471224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1313470947 + ... + 1313471085.

It is an arithmetic number, because the mean of its divisors is an integer number (812652750).

Almost surely, 2^182572471224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 182572471224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312058656000).

182572471224 is an abundant number, since it is smaller than the sum of its proper divisors (441544840776).

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

182572471224 is a wasteful number, since it uses less digits than its factorization.

182572471224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

It can be divided in two parts, 182572 and 471224, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 182572471224 in words is "one hundred eighty-two billion, five hundred seventy-two million, four hundred seventy-one thousand, two hundred twenty-four".