6456914362368 has 1200 divisors, whose sum is σ = 21581237462400. Its totient is φ = 1914427146240.

The previous prime is 6456914362337. The next prime is 6456914362369. The reversal of 6456914362368 is 8632634196546.

6456914362368 is a `hidden beast` number, since 6 + 4 + 56 + 91 + 436 + 2 + 3 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (6456914362369) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46452621243 + ... + 46452621381.

It is an arithmetic number, because the mean of its divisors is an integer number (17984364552).

Almost surely, 2^{6456914362368} is an apocalyptic number.

6456914362368 is a gapful number since it is divisible by the number (68) 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 6456914362368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10790618731200).

6456914362368 is an abundant number, since it is smaller than the sum of its proper divisors (15124323100032).

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

6456914362368 is a wasteful number, since it uses less digits than its factorization.

6456914362368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 63.

The spelling of 6456914362368 in words is "six trillion, four hundred fifty-six billion, nine hundred fourteen million, three hundred sixty-two thousand, three hundred sixty-eight".