480000166799616 has 432 divisors, whose sum is σ = 1461908586378240. Its totient is φ = 151047818772480.

The previous prime is 480000166799561. The next prime is 480000166799639. The reversal of 480000166799616 is 616997661000084.

480000166799616 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 0 + 0 + 1 + 6 + 6 + 7 + 9 + 9 + 616 = 666.

It is a super-2 number, since 2×480000166799616² (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, 31142545126 + ... + 31142560538.

Almost surely, 2^{480000166799616} 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 480000166799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730954293189120).

480000166799616 is an abundant number, since it is smaller than the sum of its proper divisors (981908419578624).

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

480000166799616 is a wasteful number, since it uses less digits than its factorization.

480000166799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17902 (or 17885 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 480000166799616 in words is "four hundred eighty trillion, one hundred sixty-six million, seven hundred ninety-nine thousand, six hundred sixteen".