452113643520 has 960 divisors, whose sum is σ = 2020668249600. Its totient is φ = 93932421120.

The previous prime is 452113643483. The next prime is 452113643539. The reversal of 452113643520 is 25346311254.

452113643520 is a `hidden beast` number, since 4 + 5 + 2 + 1 + 1 + 3 + 643 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63863341 + ... + 63870419.

It is an arithmetic number, because the mean of its divisors is an integer number (2104862760).

Almost surely, 2^452113643520 is an apocalyptic number.

452113643520 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 452113643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010334124800).

452113643520 is an abundant number, since it is smaller than the sum of its proper divisors (1568554606080).

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

452113643520 is a wasteful number, since it uses less digits than its factorization.

452113643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7136 (or 7107 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 452113643520 its reverse (25346311254), we get a palindrome (477459954774).

The spelling of 452113643520 in words is "four hundred fifty-two billion, one hundred thirteen million, six hundred forty-three thousand, five hundred twenty".