5003466738816 has 768 divisors, whose sum is σ = 16718046105600. Its totient is φ = 1298066964480.

The previous prime is 5003466738779. The next prime is 5003466738817. The reversal of 5003466738816 is 6188376643005.

It is a super-2 number, since 2×5003466738816² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5003466738817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11941447855 + ... + 11941448273.

It is an arithmetic number, because the mean of its divisors is an integer number (21768289200).

Almost surely, 2^{5003466738816} is an apocalyptic number.

5003466738816 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 5003466738816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359023052800).

5003466738816 is an abundant number, since it is smaller than the sum of its proper divisors (11714579366784).

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

5003466738816 is a wasteful number, since it uses less digits than its factorization.

5003466738816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 5003466738816 in words is "five trillion, three billion, four hundred sixty-six million, seven hundred thirty-eight thousand, eight hundred sixteen".