450537124319568 has 640 divisors, whose sum is σ = 1652141571171840. Its totient is φ = 115405454868480.

The previous prime is 450537124319567. The next prime is 450537124319573. The reversal of 450537124319568 is 865913421735054.

450537124319568 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 3 + 7 + 12 + 43 + 19 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450537124319567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33059746 + ... + 44654462.

It is an arithmetic number, because the mean of its divisors is an integer number (2581471204956).

It is a 1-persistent number, because it is pandigital, but 2⋅450537124319568 = 901074248639136 is not.

Almost surely, 2^{450537124319568} is an apocalyptic number.

450537124319568 is a gapful number since it is divisible by the number (48) 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 450537124319568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826070785585920).

450537124319568 is an abundant number, since it is smaller than the sum of its proper divisors (1201604446852272).

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

450537124319568 is a wasteful number, since it uses less digits than its factorization.

450537124319568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11594812 (or 11594800 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 450537124319568 in words is "four hundred fifty trillion, five hundred thirty-seven billion, one hundred twenty-four million, three hundred nineteen thousand, five hundred sixty-eight".