481587731152 has 80 divisors (see below), whose sum is σ = 1054135656000. Its totient is φ = 211127454720.

The previous prime is 481587731117. The next prime is 481587731153. The reversal of 481587731152 is 251137785184.

It is a super-2 number, since 2×481587731152² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 481587731152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481587731153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4732099 + ... + 4832797.

It is an arithmetic number, because the mean of its divisors is an integer number (13176695700).

Almost surely, 2^481587731152 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 481587731152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527067828000).

481587731152 is an abundant number, since it is smaller than the sum of its proper divisors (572547924848).

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

481587731152 is a wasteful number, since it uses less digits than its factorization.

481587731152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101684 (or 101678 counting only the distinct ones).

The product of its digits is 1881600, while the sum is 52.

The spelling of 481587731152 in words is "four hundred eighty-one billion, five hundred eighty-seven million, seven hundred thirty-one thousand, one hundred fifty-two".