450731581344 has 480 divisors, whose sum is σ = 1541174475456. Its totient is φ = 127710535680.

The previous prime is 450731581331. The next prime is 450731581351. The reversal of 450731581344 is 443185137054.

450731581344 is a `hidden beast` number, since 4 + 5 + 0 + 7 + 31 + 581 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 450731581344.

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 79 ways as a sum of consecutive naturals, for example, 76095567 + ... + 76101489.

Almost surely, 2^450731581344 is an apocalyptic number.

450731581344 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 450731581344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770587237728).

450731581344 is an abundant number, since it is smaller than the sum of its proper divisors (1090442894112).

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

450731581344 is a wasteful number, since it uses less digits than its factorization.

450731581344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6130 (or 6113 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 450731581344 in words is "four hundred fifty billion, seven hundred thirty-one million, five hundred eighty-one thousand, three hundred forty-four".