448561152000 has 1140 divisors, whose sum is σ = 1811048778396. Its totient is φ = 110415052800.

The previous prime is 448561151947. The next prime is 448561152031. The reversal of 448561152000 is 251165844.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

448561152000 is a `hidden beast` number, since 4 + 48 + 561 + 1 + 52 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 316041854976 + 132519297024 = 562176^2 + 364032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34504703994 + ... + 34504704006.

Almost surely, 2^448561152000 is an apocalyptic number.

448561152000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448561152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905524389198).

448561152000 is an abundant number, since it is smaller than the sum of its proper divisors (1362487626396).

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

448561152000 is an frugal number, since it uses more digits than its factorization.

448561152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 448561152000 in words is "four hundred forty-eight billion, five hundred sixty-one million, one hundred fifty-two thousand".