450464222574344 has 96 divisors (see below), whose sum is σ = 929316613680000. Its totient is φ = 204550906581120.

The previous prime is 450464222574283. The next prime is 450464222574347. The reversal of 450464222574344 is 443475222464054.

It is a self number, because there is not a number n which added to its sum of digits gives 450464222574344.

It is not an unprimeable number, because it can be changed into a prime (450464222574347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21513157427 + ... + 21513178365.

It is an arithmetic number, because the mean of its divisors is an integer number (9680381392500).

Almost surely, 2^{450464222574344} is an apocalyptic number.

450464222574344 is a gapful number since it is divisible by the number (44) 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 450464222574344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464658306840000).

450464222574344 is an abundant number, since it is smaller than the sum of its proper divisors (478852391105656).

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

450464222574344 is a wasteful number, since it uses less digits than its factorization.

450464222574344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42219 (or 42204 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 56.

The spelling of 450464222574344 in words is "four hundred fifty trillion, four hundred sixty-four billion, two hundred twenty-two million, five hundred seventy-four thousand, three hundred forty-four".