450314222688 has 480 divisors, whose sum is σ = 1495815552000. Its totient is φ = 131663232000.

The previous prime is 450314222653. The next prime is 450314222693. The reversal of 450314222688 is 886222413054.

450314222688 is a `hidden beast` number, since 4 + 50 + 314 + 22 + 268 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 441051618 + ... + 441052638.

It is an arithmetic number, because the mean of its divisors is an integer number (3116282400).

Almost surely, 2^450314222688 is an apocalyptic number.

450314222688 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 450314222688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747907776000).

450314222688 is an abundant number, since it is smaller than the sum of its proper divisors (1045501329312).

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

450314222688 is a wasteful number, since it uses less digits than its factorization.

450314222688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 450314222688 in words is "four hundred fifty billion, three hundred fourteen million, two hundred twenty-two thousand, six hundred eighty-eight".