481251744876 has 192 divisors, whose sum is σ = 1386645120000. Its totient is φ = 126828011520.

The previous prime is 481251744851. The next prime is 481251744877. The reversal of 481251744876 is 678447152184.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (481251744877) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 33299700 + ... + 33314148.

It is an arithmetic number, because the mean of its divisors is an integer number (7222110000).

Almost surely, 2^481251744876 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 481251744876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693322560000).

481251744876 is an abundant number, since it is smaller than the sum of its proper divisors (905393375124).

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

481251744876 is a wasteful number, since it uses less digits than its factorization.

481251744876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15032 (or 15030 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 57.

The spelling of 481251744876 in words is "four hundred eighty-one billion, two hundred fifty-one million, seven hundred forty-four thousand, eight hundred seventy-six".