6448501572100 has 81 divisors (see below), whose sum is σ = 16278309119583. Its totient is φ = 2210853879360.

The previous prime is 6448501572067. The next prime is 6448501572103. The reversal of 6448501572100 is 12751058446.

The square root of 6448501572100 is 2539390.

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

It can be written as a sum of positive squares in 4 ways, for example, as 279119909124 + 6169381662976 = 528318^2 + 2483824^2 .

It is not an unprimeable number, because it can be changed into a prime (6448501572103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 177739162 + ... + 177775438.

Almost surely, 2^{6448501572100} is an apocalyptic number.

6448501572100 is the 2539390-th square number.

It is an amenable number.

6448501572100 is an abundant number, since it is smaller than the sum of its proper divisors (9829807547483).

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

6448501572100 is an frugal number, since it uses more digits than its factorization.

6448501572100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72582 (or 36291 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 6448501572100 in words is "six trillion, four hundred forty-eight billion, five hundred one million, five hundred seventy-two thousand, one hundred".