484337172564 has 144 divisors (see below), whose sum is σ = 1406346579456. Its totient is φ = 137675764800.

The previous prime is 484337172563. The next prime is 484337172581. The reversal of 484337172564 is 465271733484.

484337172564 is a `hidden beast` number, since 4 + 8 + 4 + 3 + 3 + 7 + 1 + 72 + 564 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 484337172564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484337172563) 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 47 ways as a sum of consecutive naturals, for example, 135628899 + ... + 135632469.

Almost surely, 2^484337172564 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 484337172564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703173289728).

484337172564 is an abundant number, since it is smaller than the sum of its proper divisors (922009406892).

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

484337172564 is a wasteful number, since it uses less digits than its factorization.

484337172564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6181 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 484337172564 in words is "four hundred eighty-four billion, three hundred thirty-seven million, one hundred seventy-two thousand, five hundred sixty-four".