503538384241662 has 256 divisors, whose sum is σ = 1273523535618048. Its totient is φ = 128933156782080.

The previous prime is 503538384241661. The next prime is 503538384241679. The reversal of 503538384241662 is 266142483835305.

It is a junction number, because it is equal to n+sod(n) for n = 503538384241596 and 503538384241605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503538384241661) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8712763038 + ... + 8712820830.

It is an arithmetic number, because the mean of its divisors is an integer number (4974701311008).

Almost surely, 2^{503538384241662} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503538384241662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636761767809024).

503538384241662 is an abundant number, since it is smaller than the sum of its proper divisors (769985151376386).

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

503538384241662 is a wasteful number, since it uses less digits than its factorization.

503538384241662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58783.

The product of its (nonzero) digits is 99532800, while the sum is 60.

The spelling of 503538384241662 in words is "five hundred three trillion, five hundred thirty-eight billion, three hundred eighty-four million, two hundred forty-one thousand, six hundred sixty-two".