503545165261164 has 288 divisors, whose sum is σ = 1501513201581120. Its totient is φ = 140788069761024.

The previous prime is 503545165261157. The next prime is 503545165261223. The reversal of 503545165261164 is 461162561545305.

503545165261164 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 4 + 5 + 16 + 5 + 2 + 611 + 6 + 4 = 666.

It is a super-3 number, since 3×503545165261164³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 503545165261164.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7036354047 + ... + 7036425609.

It is an arithmetic number, because the mean of its divisors is an integer number (5213587505490).

Almost surely, 2^{503545165261164} 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 503545165261164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750756600790560).

503545165261164 is an abundant number, since it is smaller than the sum of its proper divisors (997968036319956).

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

503545165261164 is a wasteful number, since it uses less digits than its factorization.

503545165261164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102129 (or 102124 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 503545165261164 in words is "five hundred three trillion, five hundred forty-five billion, one hundred sixty-five million, two hundred sixty-one thousand, one hundred sixty-four".