448565062500 has 567 divisors, whose sum is σ = 1528348542357. Its totient is φ = 110910600000.

The previous prime is 448565062493. The next prime is 448565062523. The reversal of 448565062500 is 5260565844.

The square root of 448565062500 is 669750.

It is a perfect power (a square), and thus also a powerful number.

448565062500 is a `hidden beast` number, since 4 + 4 + 85 + 6 + 5 + 0 + 62 + 500 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 392986056996 + 55579005504 = 626886^2 + 235752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 188 ways as a sum of consecutive naturals, for example, 9543937477 + ... + 9543937523.

Almost surely, 2^448565062500 is an apocalyptic number.

448565062500 is the 669750-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448565062500

448565062500 is an abundant number, since it is smaller than the sum of its proper divisors (1079783479857).

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

448565062500 is an equidigital number, since it uses as much as digits as its factorization.

448565062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 448565062500 in words is "four hundred forty-eight billion, five hundred sixty-five million, sixty-two thousand, five hundred".