452887706984832 has 320 divisors, whose sum is σ = 1546772346662400. Its totient is φ = 128855074876416.

The previous prime is 452887706984831. The next prime is 452887706984959. The reversal of 452887706984832 is 238489607788254.

452887706984832 is a `hidden beast` number, since 4 + 5 + 2 + 8 + 8 + 7 + 70 + 69 + 8 + 483 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452887706984831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4290883 + ... + 30400445.

It is an arithmetic number, because the mean of its divisors is an integer number (4833663583320).

Almost surely, 2^{452887706984832} is an apocalyptic number.

452887706984832 is a gapful number since it is divisible by the number (42) 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 452887706984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773386173331200).

452887706984832 is an abundant number, since it is smaller than the sum of its proper divisors (1093884639677568).

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

452887706984832 is a wasteful number, since it uses less digits than its factorization.

452887706984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26109835 (or 26109814 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 81.

The spelling of 452887706984832 in words is "four hundred fifty-two trillion, eight hundred eighty-seven billion, seven hundred six million, nine hundred eighty-four thousand, eight hundred thirty-two".