452728318848 has 192 divisors, whose sum is σ = 1303384808880. Its totient is φ = 139172167680.

The previous prime is 452728318841. The next prime is 452728318871. The reversal of 452728318848 is 848813827254.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×452728318848³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 452728318791 and 452728318800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452728318841) 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 23 ways as a sum of consecutive naturals, for example, 89099668 + ... + 89104748.

Almost surely, 2^452728318848 is an apocalyptic number.

452728318848 is a gapful number since it is divisible by the number (48) 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 452728318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651692404440).

452728318848 is an abundant number, since it is smaller than the sum of its proper divisors (850656490032).

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

452728318848 is a wasteful number, since it uses less digits than its factorization.

452728318848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6497 (or 6472 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 60.

The spelling of 452728318848 in words is "four hundred fifty-two billion, seven hundred twenty-eight million, three hundred eighteen thousand, eight hundred forty-eight".