481182581376 has 768 divisors, whose sum is σ = 1763039416320. Its totient is φ = 127501516800.

The previous prime is 481182581353. The next prime is 481182581387. The reversal of 481182581376 is 673185281184.

481182581376 is a `hidden beast` number, since 4 + 8 + 1 + 18 + 258 + 1 + 376 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262796781 + ... + 262798611.

It is an arithmetic number, because the mean of its divisors is an integer number (2295624240).

Almost surely, 2^481182581376 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 481182581376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881519708160).

481182581376 is an abundant number, since it is smaller than the sum of its proper divisors (1281856834944).

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

481182581376 is a wasteful number, since it uses less digits than its factorization.

481182581376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1931 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The spelling of 481182581376 in words is "four hundred eighty-one billion, one hundred eighty-two million, five hundred eighty-one thousand, three hundred seventy-six".