5034856467312 has 640 divisors, whose sum is σ = 18032979148800. Its totient is φ = 1312507929600.

The previous prime is 5034856467257. The next prime is 5034856467317. The reversal of 5034856467312 is 2137646584305.

5034856467312 is a `hidden beast` number, since 5 + 0 + 3 + 4 + 8 + 564 + 6 + 73 + 1 + 2 = 666.

It is a super-3 number, since 3×5034856467312³ (a number of 39 digits) contains 333 as substring.

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 (5034856467317) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 375812998 + ... + 375826394.

It is an arithmetic number, because the mean of its divisors is an integer number (28176529920).

Almost surely, 2^{5034856467312} 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 5034856467312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9016489574400).

5034856467312 is an abundant number, since it is smaller than the sum of its proper divisors (12998122681488).

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

5034856467312 is a wasteful number, since it uses less digits than its factorization.

5034856467312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13682 (or 13670 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5034856467312 in words is "five trillion, thirty-four billion, eight hundred fifty-six million, four hundred sixty-seven thousand, three hundred twelve".