450105993216 has 576 divisors, whose sum is σ = 1489503375360. Its totient is φ = 129615298560.

The previous prime is 450105993209. The next prime is 450105993217. The reversal of 450105993216 is 612399501054.

450105993216 is a `hidden beast` number, since 4 + 5 + 0 + 10 + 599 + 32 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (450105993217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1226446665 + ... + 1226447031.

It is an arithmetic number, because the mean of its divisors is an integer number (2585943360).

Almost surely, 2^450105993216 is an apocalyptic number.

450105993216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450105993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744751687680).

450105993216 is an abundant number, since it is smaller than the sum of its proper divisors (1039397382144).

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

450105993216 is a wasteful number, since it uses less digits than its factorization.

450105993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 450105993216 in words is "four hundred fifty billion, one hundred five million, nine hundred ninety-three thousand, two hundred sixteen".