450861530112 has 264 divisors, whose sum is σ = 1508228879456. Its totient is φ = 127051628544.

The previous prime is 450861530107. The next prime is 450861530153. The reversal of 450861530112 is 211035168054.

450861530112 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 6 + 1 + 530 + 112 = 666.

It is a super-3 number, since 3×450861530112³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4661508 + ... + 4757244.

Almost surely, 2^450861530112 is an apocalyptic number.

450861530112 is a gapful number since it is divisible by the number (42) 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 450861530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754114439728).

450861530112 is an abundant number, since it is smaller than the sum of its proper divisors (1057367349344).

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

450861530112 is a wasteful number, since it uses less digits than its factorization.

450861530112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95843 (or 95822 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 450861530112 its reverse (211035168054), we get a palindrome (661896698166).

The spelling of 450861530112 in words is "four hundred fifty billion, eight hundred sixty-one million, five hundred thirty thousand, one hundred twelve".