450150014664 has 192 divisors, whose sum is σ = 1458499011840. Its totient is φ = 122633280000.

The previous prime is 450150014653. The next prime is 450150014669. The reversal of 450150014664 is 466410051054.

450150014664 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 500 + 146 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (450150014669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3613414 + ... + 3735914.

It is an arithmetic number, because the mean of its divisors is an integer number (7596349020).

Almost surely, 2^450150014664 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 450150014664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729249505920).

450150014664 is an abundant number, since it is smaller than the sum of its proper divisors (1008348997176).

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

450150014664 is a wasteful number, since it uses less digits than its factorization.

450150014664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122860 (or 122853 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 450150014664 in words is "four hundred fifty billion, one hundred fifty million, fourteen thousand, six hundred sixty-four".