448406545170080 has 96 divisors (see below), whose sum is σ = 1281915182128896. Its totient is φ = 144695893561344.

The previous prime is 448406545170049. The next prime is 448406545170083. The reversal of 448406545170080 is 80071545604844.

It is a super-2 number, since 2×448406545170080² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 448406545169998 and 448406545170025.

It is not an unprimeable number, because it can be changed into a prime (448406545170083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11775362924 + ... + 11775401003.

It is an arithmetic number, because the mean of its divisors is an integer number (13353283147176).

Almost surely, 2^{448406545170080} is an apocalyptic number.

448406545170080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

448406545170080 is an abundant number, since it is smaller than the sum of its proper divisors (833508636958816).

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

448406545170080 is a wasteful number, since it uses less digits than its factorization.

448406545170080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23550763966 (or 23550763958 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 56.

The spelling of 448406545170080 in words is "four hundred forty-eight trillion, four hundred six billion, five hundred forty-five million, one hundred seventy thousand, eighty".