450707507712 has 640 divisors, whose sum is σ = 1761238702080. Its totient is φ = 110176174080.

The previous prime is 450707507683. The next prime is 450707507737. The reversal of 450707507712 is 217705707054.

450707507712 is a `hidden beast` number, since 4 + 5 + 0 + 70 + 7 + 507 + 71 + 2 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18083163 + ... + 18108069.

It is an arithmetic number, because the mean of its divisors is an integer number (2751935472).

Almost surely, 2^450707507712 is an apocalyptic number.

450707507712 is a gapful number since it is divisible by the number (42) 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 450707507712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880619351040).

450707507712 is an abundant number, since it is smaller than the sum of its proper divisors (1310531194368).

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

450707507712 is a wasteful number, since it uses less digits than its factorization.

450707507712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24969 (or 24947 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 45.

The spelling of 450707507712 in words is "four hundred fifty billion, seven hundred seven million, five hundred seven thousand, seven hundred twelve".