5416650566145 has 192 divisors, whose sum is σ = 12479443200000. Its totient is φ = 2206888975872.

The previous prime is 5416650566137. The next prime is 5416650566149.

5416650566145 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 65 + 0 + 566 + 14 + 5 = 666.

5416650566145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5416650566145 - 2³ = 5416650566137 is a prime.

It is a super-2 number, since 2×5416650566145² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5416650566091 and 5416650566100.

It is not an unprimeable number, because it can be changed into a prime (5416650566149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1407856 + ... + 3579854.

It is an arithmetic number, because the mean of its divisors is an integer number (64997100000).

Almost surely, 2^{5416650566145} is an apocalyptic number.

It is an amenable number.

5416650566145 is an abundant number, since it is smaller than the sum of its proper divisors (7062792633855).

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

5416650566145 is a wasteful number, since it uses less digits than its factorization.

5416650566145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172069 (or 2172056 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 5416650566145 in words is "five trillion, four hundred sixteen billion, six hundred fifty million, five hundred sixty-six thousand, one hundred forty-five".