448353050000 has 480 divisors, whose sum is σ = 1181053470240. Its totient is φ = 164505600000.

The previous prime is 448353049951. The next prime is 448353050017. The reversal of 448353050000 is 50353844.

It can be written as a sum of positive squares in 48 ways, for example, as 232956814336 + 215396235664 = 482656^2 + 464108^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3272649932 + ... + 3272650068.

It is an arithmetic number, because the mean of its divisors is an integer number (2460528063).

Almost surely, 2^448353050000 is an apocalyptic number.

448353050000 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 448353050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590526735120).

448353050000 is an abundant number, since it is smaller than the sum of its proper divisors (732700420240).

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

448353050000 is a wasteful number, since it uses less digits than its factorization.

448353050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 448353050000 in words is "four hundred forty-eight billion, three hundred fifty-three million, fifty thousand".