450313928064 has 3072 divisors, whose sum is σ = 2064310272000. Its totient is φ = 93162700800.

The previous prime is 450313928063. The next prime is 450313928089. The reversal of 450313928064 is 460829313054.

450313928064 is a `hidden beast` number, since 4 + 50 + 313 + 9 + 280 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450313928063) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14526255729 + ... + 14526255759.

It is an arithmetic number, because the mean of its divisors is an integer number (671976000).

Almost surely, 2^450313928064 is an apocalyptic number.

450313928064 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 450313928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032155136000).

450313928064 is an abundant number, since it is smaller than the sum of its proper divisors (1613996343936).

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

450313928064 is a wasteful number, since it uses less digits than its factorization.

450313928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 450313928064 in words is "four hundred fifty billion, three hundred thirteen million, nine hundred twenty-eight thousand, sixty-four".