448038937350144 has 1872 divisors, whose sum is σ = 1663136654188800. Its totient is φ = 118800311648256.

The previous prime is 448038937350101. The next prime is 448038937350167. The reversal of 448038937350144 is 441053739830844.

448038937350144 is a `hidden beast` number, since 4 + 4 + 8 + 0 + 3 + 89 + 3 + 7 + 3 + 501 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 114324809817 + ... + 114324813735.

Almost surely, 2^{448038937350144} 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 448038937350144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831568327094400).

448038937350144 is an abundant number, since it is smaller than the sum of its proper divisors (1215097716838656).

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

448038937350144 is a wasteful number, since it uses less digits than its factorization.

448038937350144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4021 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 448038937350144 in words is "four hundred forty-eight trillion, thirty-eight billion, nine hundred thirty-seven million, three hundred fifty thousand, one hundred forty-four".