448215521121 has 27 divisors (see below), whose sum is σ = 663720291507. Its totient is φ = 291468731040.

The previous prime is 448215521081. The next prime is 448215521123. The reversal of 448215521121 is 121125512844.

The square root of 448215521121 is 669489.

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

448215521121 is a `hidden beast` number, since 4 + 4 + 8 + 2 + 1 + 5 + 521 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21597535521 + 426617985600 = 146961^2 + 653160^2 .

It is not a de Polignac number, because 448215521121 - 2¹⁵ = 448215488353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (448215521123) 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, 82344426 + ... + 82349868.

Almost surely, 2^448215521121 is an apocalyptic number.

448215521121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

448215521121 is the 669489-th square number.

448215521121 is the 334745-th centered octagonal number.

It is an amenable number.

448215521121 is a deficient number, since it is larger than the sum of its proper divisors (215504770386).

448215521121 is an frugal number, since it uses more digits than its factorization.

448215521121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10974 (or 5487 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

Multiplying 448215521121 by its sum of digits (36), we get a square (16135758760356 = 4016934²).

The spelling of 448215521121 in words is "four hundred forty-eight billion, two hundred fifteen million, five hundred twenty-one thousand, one hundred twenty-one".