824449472064 has 105 divisors (see below), whose sum is σ = 2444120320411. Its totient is φ = 274794698880.

The previous prime is 824449472053. The next prime is 824449472087. The reversal of 824449472064 is 460274944428.

The square root of 824449472064 is 907992.

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

824449472064 is a `hidden beast` number, since 8 + 24 + 4 + 494 + 72 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 824449472064.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 65369119 + ... + 65381729.

Almost surely, 2^824449472064 is an apocalyptic number.

824449472064 is the 907992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824449472064

824449472064 is an abundant number, since it is smaller than the sum of its proper divisors (1619670848347).

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

824449472064 is an frugal number, since it uses more digits than its factorization.

824449472064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25246 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 824449472064 in words is "eight hundred twenty-four billion, four hundred forty-nine million, four hundred seventy-two thousand, sixty-four".