504472141368 has 160 divisors (see below), whose sum is σ = 1522343592000. Its totient is φ = 155154569472.

The previous prime is 504472141351. The next prime is 504472141379. The reversal of 504472141368 is 863141274405.

504472141368 is a `hidden beast` number, since 5 + 0 + 4 + 472 + 141 + 36 + 8 = 666.

It is a super-2 number, since 2×504472141368² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21410458 + ... + 21434006.

It is an arithmetic number, because the mean of its divisors is an integer number (9514647450).

Almost surely, 2^504472141368 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 504472141368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761171796000).

504472141368 is an abundant number, since it is smaller than the sum of its proper divisors (1017871450632).

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

504472141368 is a wasteful number, since it uses less digits than its factorization.

504472141368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26123 (or 26110 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 504472141368 in words is "five hundred four billion, four hundred seventy-two million, one hundred forty-one thousand, three hundred sixty-eight".