452597853312 has 2048 divisors, whose sum is σ = 1776660480000. Its totient is φ = 111476736000.

The previous prime is 452597853307. The next prime is 452597853317. The reversal of 452597853312 is 213358795254.

452597853312 is a `hidden beast` number, since 4 + 5 + 2 + 5 + 97 + 8 + 533 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (452597853307) and next prime (452597853317).

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

It is not an unprimeable number, because it can be changed into a prime (452597853317) 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 255 ways as a sum of consecutive naturals, for example, 11038972012 + ... + 11038972052.

It is an arithmetic number, because the mean of its divisors is an integer number (867510000).

Almost surely, 2^452597853312 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 452597853312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888330240000).

452597853312 is an abundant number, since it is smaller than the sum of its proper divisors (1324062626688).

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

452597853312 is a wasteful number, since it uses less digits than its factorization.

452597853312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 452597853312 in words is "four hundred fifty-two billion, five hundred ninety-seven million, eight hundred fifty-three thousand, three hundred twelve".