448137803712 has 168 divisors, whose sum is σ = 1207332892416. Its totient is φ = 146701158912.

The previous prime is 448137803627. The next prime is 448137803747. The reversal of 448137803712 is 217308731844.

It is a super-2 number, since 2×448137803712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 399053583 + ... + 399054705.

It is an arithmetic number, because the mean of its divisors is an integer number (7186505312).

Almost surely, 2^448137803712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448137803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603666446208).

448137803712 is an abundant number, since it is smaller than the sum of its proper divisors (759195088704).

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

448137803712 is a wasteful number, since it uses less digits than its factorization.

448137803712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 448137803712 in words is "four hundred forty-eight billion, one hundred thirty-seven million, eight hundred three thousand, seven hundred twelve".