478133185536 has 264 divisors, whose sum is σ = 1432054572624. Its totient is φ = 153523814400.

The previous prime is 478133185531. The next prime is 478133185559. The reversal of 478133185536 is 635581331874.

478133185536 is a `hidden beast` number, since 4 + 7 + 81 + 3 + 3 + 1 + 8 + 553 + 6 = 666.

It is a super-2 number, since 2×478133185536² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (478133185531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34433251 + ... + 34447133.

Almost surely, 2^478133185536 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 478133185536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716027286312).

478133185536 is an abundant number, since it is smaller than the sum of its proper divisors (953921387088).

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

478133185536 is a wasteful number, since it uses less digits than its factorization.

478133185536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14047 (or 14026 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 478133185536 in words is "four hundred seventy-eight billion, one hundred thirty-three million, one hundred eighty-five thousand, five hundred thirty-six".