450052042968 has 128 divisors (see below), whose sum is σ = 1364334048000. Its totient is φ = 136325410560.

The previous prime is 450052042963. The next prime is 450052042969. The reversal of 450052042968 is 869240250054.

450052042968 is a `hidden beast` number, since 4 + 500 + 52 + 0 + 4 + 2 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450052042963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6181803 + ... + 6254181.

It is an arithmetic number, because the mean of its divisors is an integer number (10658859750).

Almost surely, 2^450052042968 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 450052042968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682167024000).

450052042968 is an abundant number, since it is smaller than the sum of its proper divisors (914282005032).

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

450052042968 is a wasteful number, since it uses less digits than its factorization.

450052042968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75022 (or 75012 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 450052042968 in words is "four hundred fifty billion, fifty-two million, forty-two thousand, nine hundred sixty-eight".