452808068128 has 96 divisors (see below), whose sum is σ = 975444301440. Its totient is φ = 205661030400.

The previous prime is 452808068123. The next prime is 452808068131. The reversal of 452808068128 is 821860808254.

It is a super-2 number, since 2×452808068128² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (452808068123) 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 15 ways as a sum of consecutive naturals, for example, 6687628 + ... + 6754996.

It is an arithmetic number, because the mean of its divisors is an integer number (10160878140).

Almost surely, 2^452808068128 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 452808068128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487722150720).

452808068128 is an abundant number, since it is smaller than the sum of its proper divisors (522636233312).

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

452808068128 is a wasteful number, since it uses less digits than its factorization.

452808068128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67650 (or 67642 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 52.

The spelling of 452808068128 in words is "four hundred fifty-two billion, eight hundred eight million, sixty-eight thousand, one hundred twenty-eight".