5145310392768 has 560 divisors, whose sum is σ = 19052373441024. Its totient is φ = 1336742922240.

The previous prime is 5145310392763. The next prime is 5145310392829. The reversal of 5145310392768 is 8672930135415.

It is a happy number.

5145310392768 is a `hidden beast` number, since 5 + 1 + 4 + 531 + 0 + 39 + 2 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5145310392763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31525453 + ... + 31688243.

It is a 1-persistent number, because it is pandigital, but 2⋅5145310392768 = 10290620785536 is not.

Almost surely, 2^{5145310392768} 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 5145310392768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9526186720512).

5145310392768 is an abundant number, since it is smaller than the sum of its proper divisors (13907063048256).

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

5145310392768 is a wasteful number, since it uses less digits than its factorization.

5145310392768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162902 (or 162883 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 5145310392768 in words is "five trillion, one hundred forty-five billion, three hundred ten million, three hundred ninety-two thousand, seven hundred sixty-eight".