478133773713 has 18 divisors (see below), whose sum is σ = 700502034882. Its totient is φ = 314266300320.

The previous prime is 478133773699. The next prime is 478133773723. The reversal of 478133773713 is 317377331874.

478133773713 is a `hidden beast` number, since 4 + 78 + 133 + 77 + 371 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 475090375824 + 3043397889 = 689268^2 + 55167^2 .

It is not a de Polignac number, because 478133773713 - 2¹³ = 478133765521 is a prime.

It is a super-2 number, since 2×478133773713² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 478133773713.

It is not an unprimeable number, because it can be changed into a prime (478133773723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5224020 + ... + 5314757.

Almost surely, 2^478133773713 is an apocalyptic number.

It is an amenable number.

478133773713 is a deficient number, since it is larger than the sum of its proper divisors (222368261169).

478133773713 is a wasteful number, since it uses less digits than its factorization.

478133773713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538925 (or 10538851 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The spelling of 478133773713 in words is "four hundred seventy-eight billion, one hundred thirty-three million, seven hundred seventy-three thousand, seven hundred thirteen".