6458735817216 has 480 divisors, whose sum is σ = 19953542980800. Its totient is φ = 2005201059840.

The previous prime is 6458735817161. The next prime is 6458735817221. The reversal of 6458735817216 is 6127185378546.

It is a happy number.

6458735817216 is a `hidden beast` number, since 6 + 4 + 58 + 7 + 358 + 17 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4745580376 + ... + 4745581736.

It is an arithmetic number, because the mean of its divisors is an integer number (41569881210).

Almost surely, 2^{6458735817216} 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 6458735817216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976771490400).

6458735817216 is an abundant number, since it is smaller than the sum of its proper divisors (13494807163584).

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

6458735817216 is a wasteful number, since it uses less digits than its factorization.

6458735817216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2261 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 6458735817216 in words is "six trillion, four hundred fifty-eight billion, seven hundred thirty-five million, eight hundred seventeen thousand, two hundred sixteen".