448565647806320 has 160 divisors (see below), whose sum is σ = 1138433208200640. Its totient is φ = 163013362974720.

The previous prime is 448565647806301. The next prime is 448565647806359. The reversal of 448565647806320 is 23608746565844.

It is a super-2 number, since 2×448565647806320² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10692078464 + ... + 10692120416.

It is an arithmetic number, because the mean of its divisors is an integer number (7115207551254).

Almost surely, 2^{448565647806320} is an apocalyptic number.

448565647806320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448565647806320 is an abundant number, since it is smaller than the sum of its proper divisors (689867560394320).

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

448565647806320 is a wasteful number, since it uses less digits than its factorization.

448565647806320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49243 (or 49237 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 68.

The spelling of 448565647806320 in words is "four hundred forty-eight trillion, five hundred sixty-five billion, six hundred forty-seven million, eight hundred six thousand, three hundred twenty".