481819954176 has 440 divisors, whose sum is σ = 1575051540480. Its totient is φ = 145500364800.

The previous prime is 481819954171. The next prime is 481819954207. The reversal of 481819954176 is 671459918184.

481819954176 is a `hidden beast` number, since 4 + 8 + 1 + 8 + 19 + 9 + 541 + 76 = 666.

It is not an unprimeable number, because it can be changed into a prime (481819954171) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327545121 + ... + 327546591.

It is an arithmetic number, because the mean of its divisors is an integer number (3579662592).

Almost surely, 2^481819954176 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 481819954176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787525770240).

481819954176 is an abundant number, since it is smaller than the sum of its proper divisors (1093231586304).

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

481819954176 is a wasteful number, since it uses less digits than its factorization.

481819954176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1846 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 63.

The spelling of 481819954176 in words is "four hundred eighty-one billion, eight hundred nineteen million, nine hundred fifty-four thousand, one hundred seventy-six".