450921639168 has 2592 divisors, whose sum is σ = 1978630198272. Its totient is φ = 96613171200.

The previous prime is 450921639149. The next prime is 450921639193. The reversal of 450921639168 is 861936129054.

450921639168 is a `hidden beast` number, since 450 + 9 + 21 + 6 + 3 + 9 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8507955430 + ... + 8507955482.

It is an arithmetic number, because the mean of its divisors is an integer number (763360416).

Almost surely, 2^450921639168 is an apocalyptic number.

450921639168 is a gapful number since it is divisible by the number (48) 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 450921639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989315099136).

450921639168 is an abundant number, since it is smaller than the sum of its proper divisors (1527708559104).

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

450921639168 is a wasteful number, since it uses less digits than its factorization.

450921639168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 450921639168 in words is "four hundred fifty billion, nine hundred twenty-one million, six hundred thirty-nine thousand, one hundred sixty-eight".