480161855136 has 192 divisors, whose sum is σ = 1365856732800. Its totient is φ = 147148210176.

The previous prime is 480161855071. The next prime is 480161855137. The reversal of 480161855136 is 631558161084.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (480161855137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12035670 + ... + 12075498.

It is an arithmetic number, because the mean of its divisors is an integer number (7113837150).

Almost surely, 2^480161855136 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 480161855136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682928366400).

480161855136 is an abundant number, since it is smaller than the sum of its proper divisors (885694877664).

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

480161855136 is a wasteful number, since it uses less digits than its factorization.

480161855136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40031 (or 40023 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 480161855136 in words is "four hundred eighty billion, one hundred sixty-one million, eight hundred fifty-five thousand, one hundred thirty-six".