448958961936 has 45 divisors (see below), whose sum is σ = 1256484042021. Its totient is φ = 149650307136.

The previous prime is 448958961901. The next prime is 448958961953. The reversal of 448958961936 is 639169859844.

The square root of 448958961936 is 670044.

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

448958961936 is a `hidden beast` number, since 4 + 4 + 8 + 9 + 589 + 6 + 1 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 308891408400 + 140067553536 = 555780^2 + 374256^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8012610 + ... + 8068446.

Almost surely, 2^448958961936 is an apocalyptic number.

448958961936 is the 670044-th square number.

It is an amenable number.

448958961936 is an abundant number, since it is smaller than the sum of its proper divisors (807525080085).

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

448958961936 is an frugal number, since it uses more digits than its factorization.

448958961936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111688 (or 55842 counting only the distinct ones).

The product of its digits is 403107840, while the sum is 72.

The spelling of 448958961936 in words is "four hundred forty-eight billion, nine hundred fifty-eight million, nine hundred sixty-one thousand, nine hundred thirty-six".