1448912949264 has 225 divisors, whose sum is σ = 4465797532365. Its totient is φ = 438534898560.

The previous prime is 1448912949251. The next prime is 1448912949271. The reversal of 1448912949264 is 4629492198441.

The square root of 1448912949264 is 1203708.

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

1448912949264 is a `hidden beast` number, since 1 + 4 + 4 + 89 + 1 + 2 + 9 + 492 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 834131502864 + 614781446400 = 913308^2 + 784080^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1747783602 + ... + 1747784430.

Almost surely, 2^{1448912949264} is an apocalyptic number.

1448912949264 is the 1203708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1448912949264

1448912949264 is an abundant number, since it is smaller than the sum of its proper divisors (3016884583101).

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

1448912949264 is an frugal number, since it uses more digits than its factorization.

1448912949264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 845 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 1448912949264 in words is "one trillion, four hundred forty-eight billion, nine hundred twelve million, nine hundred forty-nine thousand, two hundred sixty-four".