532944241569792 has 1664 divisors, whose sum is σ = 1832869953331200. Its totient is φ = 151751560790016.

The previous prime is 532944241569781. The next prime is 532944241569797. The reversal of 532944241569792 is 297965142449235.

532944241569792 is a `hidden beast` number, since 5 + 3 + 2 + 9 + 442 + 4 + 1 + 5 + 6 + 97 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-3 number, since 3×532944241569792³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 532944241569792.

It is not an unprimeable number, because it can be changed into a prime (532944241569797) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 138319292538 + ... + 138319296390.

Almost surely, 2^{532944241569792} is an apocalyptic number.

532944241569792 is a gapful number since it is divisible by the number (52) 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 532944241569792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916434976665600).

532944241569792 is an abundant number, since it is smaller than the sum of its proper divisors (1299925711761408).

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

532944241569792 is a wasteful number, since it uses less digits than its factorization.

532944241569792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4030 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 532944241569792 in words is "five hundred thirty-two trillion, nine hundred forty-four billion, two hundred forty-one million, five hundred sixty-nine thousand, seven hundred ninety-two".