450878230144 has 128 divisors (see below), whose sum is σ = 983271121920. Its totient is φ = 205070745600.

The previous prime is 450878230111. The next prime is 450878230157. The reversal of 450878230144 is 441032878054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 450878230094 and 450878230103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12138769 + ... + 12175855.

It is an arithmetic number, because the mean of its divisors is an integer number (7681805640).

Almost surely, 2^450878230144 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 450878230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491635560960).

450878230144 is an abundant number, since it is smaller than the sum of its proper divisors (532392891776).

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

450878230144 is a wasteful number, since it uses less digits than its factorization.

450878230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37306 (or 37294 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The spelling of 450878230144 in words is "four hundred fifty billion, eight hundred seventy-eight million, two hundred thirty thousand, one hundred forty-four".