5181746147968 has 256 divisors, whose sum is σ = 11866885632000. Its totient is φ = 2233899233280.

The previous prime is 5181746147891. The next prime is 5181746147969. The reversal of 5181746147968 is 8697416471815.

It is not an unprimeable number, because it can be changed into a prime (5181746147969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3224483421 + ... + 3224485027.

It is an arithmetic number, because the mean of its divisors is an integer number (46355022000).

Almost surely, 2^{5181746147968} 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 5181746147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933442816000).

5181746147968 is an abundant number, since it is smaller than the sum of its proper divisors (6685139484032).

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

5181746147968 is a wasteful number, since it uses less digits than its factorization.

5181746147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3011 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 67.

The spelling of 5181746147968 in words is "five trillion, one hundred eighty-one billion, seven hundred forty-six million, one hundred forty-seven thousand, nine hundred sixty-eight".