503164344563216 has 120 divisors (see below), whose sum is σ = 1151700159597120. Its totient is φ = 208603945278720.

The previous prime is 503164344563207. The next prime is 503164344563233. The reversal of 503164344563216 is 612365443461305.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 274300895 + ... + 276129153.

It is an arithmetic number, because the mean of its divisors is an integer number (9597501329976).

Almost surely, 2^{503164344563216} is an apocalyptic number.

503164344563216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503164344563216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575850079798560).

503164344563216 is an abundant number, since it is smaller than the sum of its proper divisors (648535815033904).

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

503164344563216 is a wasteful number, since it uses less digits than its factorization.

503164344563216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830893 (or 1830856 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 53.

The spelling of 503164344563216 in words is "five hundred three trillion, one hundred sixty-four billion, three hundred forty-four million, five hundred sixty-three thousand, two hundred sixteen".