481659956184 has 64 divisors (see below), whose sum is σ = 1313714206080. Its totient is φ = 145946880000.

The previous prime is 481659956179. The next prime is 481659956201.

It is a happy number.

481659956184 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4020024 + ... + 4138104.

It is an arithmetic number, because the mean of its divisors is an integer number (20526784470).

Almost surely, 2^481659956184 is an apocalyptic number.

481659956184 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

481659956184 is an abundant number, since it is smaller than the sum of its proper divisors (832054249896).

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

481659956184 is a wasteful number, since it uses less digits than its factorization.

481659956184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133552 (or 133548 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 66.

The spelling of 481659956184 in words is "four hundred eighty-one billion, six hundred fifty-nine million, nine hundred fifty-six thousand, one hundred eighty-four".