448119911844 has 96 divisors (see below), whose sum is σ = 1322514708480. Its totient is φ = 129889821600.

The previous prime is 448119911807. The next prime is 448119911849.

448119911844 is a `hidden beast` number, since 4 + 481 + 1 + 9 + 9 + 118 + 44 = 666.

448119911844 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×448119911844² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (448119911849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8172792 + ... + 8227439.

It is an arithmetic number, because the mean of its divisors is an integer number (13776194880).

Almost surely, 2^448119911844 is an apocalyptic number.

448119911844 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

448119911844 is an abundant number, since it is smaller than the sum of its proper divisors (874394796636).

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

448119911844 is a wasteful number, since it uses less digits than its factorization.

448119911844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16400278 (or 16400270 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 448119911844 in words is "four hundred forty-eight billion, one hundred nineteen million, nine hundred eleven thousand, eight hundred forty-four".