450316513152 has 512 divisors, whose sum is σ = 1564254374400. Its totient is φ = 125999677440.

The previous prime is 450316513139. The next prime is 450316513187. The reversal of 450316513152 is 251315613054.

450316513152 is a `hidden beast` number, since 4 + 503 + 16 + 5 + 131 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34245843 + ... + 34258989.

It is an arithmetic number, because the mean of its divisors is an integer number (3055184325).

Almost surely, 2^450316513152 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 450316513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782127187200).

450316513152 is an abundant number, since it is smaller than the sum of its proper divisors (1113937861248).

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

450316513152 is a wasteful number, since it uses less digits than its factorization.

450316513152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251 (or 13233 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 450316513152 in words is "four hundred fifty billion, three hundred sixteen million, five hundred thirteen thousand, one hundred fifty-two".