452415233200000 has 768 divisors, whose sum is σ = 1314067319308800. Its totient is φ = 151930229760000.

The previous prime is 452415233199991. The next prime is 452415233200001. The reversal of 452415233200000 is 2332514254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452415233200001) 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 95 ways as a sum of consecutive naturals, for example, 46751595162 + ... + 46751604838.

It is an arithmetic number, because the mean of its divisors is an integer number (1711025155350).

Almost surely, 2^{452415233200000} is an apocalyptic number.

452415233200000 is a gapful number since it is divisible by the number (40) 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 452415233200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657033659654400).

452415233200000 is an abundant number, since it is smaller than the sum of its proper divisors (861652086108800).

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

452415233200000 is an frugal number, since it uses more digits than its factorization.

452415233200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10065 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 452415233200000 its reverse (2332514254), we get a palindrome (452417565714254).

The spelling of 452415233200000 in words is "four hundred fifty-two trillion, four hundred fifteen billion, two hundred thirty-three million, two hundred thousand".