448129704906 has 64 divisors (see below), whose sum is σ = 1073435596800. Its totient is φ = 137758978368.

The previous prime is 448129704901. The next prime is 448129704929. The reversal of 448129704906 is 609407921844.

448129704906 is a `hidden beast` number, since 4 + 4 + 81 + 2 + 9 + 70 + 490 + 6 = 666.

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 (448129704901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469440 + ... + 1056708.

It is an arithmetic number, because the mean of its divisors is an integer number (16772431200).

Almost surely, 2^448129704906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448129704906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536717798400).

448129704906 is an abundant number, since it is smaller than the sum of its proper divisors (625305891894).

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

448129704906 is a wasteful number, since it uses less digits than its factorization.

448129704906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588380 (or 588374 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 448129704906 in words is "four hundred forty-eight billion, one hundred twenty-nine million, seven hundred four thousand, nine hundred six".