448163464361844 has 96 divisors (see below), whose sum is σ = 1303883235551232. Its totient is φ = 116394043248000.

The previous prime is 448163464361783. The next prime is 448163464361863.

448163464361844 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16175472 + ... + 34028999.

It is an arithmetic number, because the mean of its divisors is an integer number (13582117036992).

Almost surely, 2^{448163464361844} is an apocalyptic number.

448163464361844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448163464361844 is an abundant number, since it is smaller than the sum of its proper divisors (855719771189388).

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

448163464361844 is a wasteful number, since it uses less digits than its factorization.

448163464361844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50214157 (or 50214155 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 66.

The spelling of 448163464361844 in words is "four hundred forty-eight trillion, one hundred sixty-three billion, four hundred sixty-four million, three hundred sixty-one thousand, eight hundred forty-four".