480161173536 has 384 divisors, whose sum is σ = 1543807641600. Its totient is φ = 143986222080.

The previous prime is 480161173523. The next prime is 480161173543. The reversal of 480161173536 is 635371161084.

480161173536 is a `hidden beast` number, since 48 + 0 + 1 + 6 + 1 + 1 + 73 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 480161173491 and 480161173500.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449168010 + ... + 449169078.

It is an arithmetic number, because the mean of its divisors is an integer number (4020332400).

Almost surely, 2^480161173536 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 480161173536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771903820800).

480161173536 is an abundant number, since it is smaller than the sum of its proper divisors (1063646468064).

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

480161173536 is a wasteful number, since it uses less digits than its factorization.

480161173536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1549 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 480161173536 in words is "four hundred eighty billion, one hundred sixty-one million, one hundred seventy-three thousand, five hundred thirty-six".