452521148544 has 384 divisors, whose sum is σ = 1417389246000. Its totient is φ = 138231152640.

The previous prime is 452521148537. The next prime is 452521148551. The reversal of 452521148544 is 445841125254.

452521148544 is a `hidden beast` number, since 4 + 5 + 2 + 52 + 11 + 48 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (452521148537) and next prime (452521148551).

It can be written as a sum of positive squares in 8 ways, for example, as 84848698944 + 367672449600 = 291288^2 + 606360^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 452521148544.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50675472 + ... + 50684400.

Almost surely, 2^452521148544 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 452521148544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708694623000).

452521148544 is an abundant number, since it is smaller than the sum of its proper divisors (964868097456).

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

452521148544 is a wasteful number, since it uses less digits than its factorization.

452521148544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9056 (or 9041 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The spelling of 452521148544 in words is "four hundred fifty-two billion, five hundred twenty-one million, one hundred forty-eight thousand, five hundred forty-four".