503356315165664 has 96 divisors (see below), whose sum is σ = 1013988564449280. Its totient is φ = 245856165355008.

The previous prime is 503356315165657. The next prime is 503356315165687. The reversal of 503356315165664 is 466561513653305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1750179827 + ... + 1750467405.

It is an arithmetic number, because the mean of its divisors is an integer number (10562380879680).

Almost surely, 2^{503356315165664} 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 503356315165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506994282224640).

503356315165664 is an abundant number, since it is smaller than the sum of its proper divisors (510632249283616).

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

503356315165664 is a wasteful number, since it uses less digits than its factorization.

503356315165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289840 (or 289832 counting only the distinct ones).

The product of its (nonzero) digits is 87480000, while the sum is 59.

The spelling of 503356315165664 in words is "five hundred three trillion, three hundred fifty-six billion, three hundred fifteen million, one hundred sixty-five thousand, six hundred sixty-four".