450744552864 has 288 divisors, whose sum is σ = 1339540675200. Its totient is φ = 143594035200.

The previous prime is 450744552851. The next prime is 450744552883. The reversal of 450744552864 is 468255447054.

450744552864 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 4 + 4 + 552 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 450744552864.

It is an unprimeable number.

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, 528422262 + ... + 528423114.

It is an arithmetic number, because the mean of its divisors is an integer number (4651182900).

Almost surely, 2^450744552864 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 450744552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669770337600).

450744552864 is an abundant number, since it is smaller than the sum of its proper divisors (888796122336).

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

450744552864 is a wasteful number, since it uses less digits than its factorization.

450744552864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 450744552864 in words is "four hundred fifty billion, seven hundred forty-four million, five hundred fifty-two thousand, eight hundred sixty-four".