755225416008 has 180 divisors, whose sum is σ = 2461195174185. Its totient is φ = 215734446144.

The previous prime is 755225415953. The next prime is 755225416009. The reversal of 755225416008 is 800614522557.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

755225416008 is a `hidden beast` number, since 7 + 5 + 5 + 225 + 416 + 0 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 715441922244 + 39783493764 = 845838^2 + 199458^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=614502.

It is not an unprimeable number, because it can be changed into a prime (755225416009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 154852066 + ... + 154856942.

Almost surely, 2^755225416008 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 755225416008

755225416008 is an abundant number, since it is smaller than the sum of its proper divisors (1705969758177).

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

755225416008 is an frugal number, since it uses more digits than its factorization.

755225416008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 755225416008 in words is "seven hundred fifty-five billion, two hundred twenty-five million, four hundred sixteen thousand, eight".