450680720702112 has 288 divisors, whose sum is σ = 1393813451865744. Its totient is φ = 137556386611200.

The previous prime is 450680720702089. The next prime is 450680720702131. The reversal of 450680720702112 is 211207027086054.

450680720702112 is a `hidden beast` number, since 4 + 506 + 8 + 0 + 7 + 20 + 7 + 0 + 2 + 112 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 237597684953616 + 213083035748496 = 15414204^2 + 14597364^2 .

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

It is a super-2 number, since 2×450680720702112² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2141292562 + ... + 2141503022.

Almost surely, 2^{450680720702112} 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 450680720702112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696906725932872).

450680720702112 is an abundant number, since it is smaller than the sum of its proper divisors (943132731163632).

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

450680720702112 is a wasteful number, since it uses less digits than its factorization.

450680720702112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222352 (or 222341 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

Adding to 450680720702112 its reverse (211207027086054), we get a palindrome (661887747788166).

The spelling of 450680720702112 in words is "four hundred fifty trillion, six hundred eighty billion, seven hundred twenty million, seven hundred two thousand, one hundred twelve".