6464358111456 has 216 divisors, whose sum is σ = 21391041311640. Its totient is φ = 1846379598336.

The previous prime is 6464358111443. The next prime is 6464358111499. The reversal of 6464358111456 is 6541118534646.

6464358111456 is a `hidden beast` number, since 6 + 4 + 6 + 4 + 3 + 581 + 1 + 1 + 4 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45920730 + ... + 46061286.

It is an arithmetic number, because the mean of its divisors is an integer number (99032598665).

Almost surely, 2^{6464358111456} 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 6464358111456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695520655820).

6464358111456 is an abundant number, since it is smaller than the sum of its proper divisors (14926683200184).

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

6464358111456 is a wasteful number, since it uses less digits than its factorization.

6464358111456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143846 (or 143828 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 6464358111456 in words is "six trillion, four hundred sixty-four billion, three hundred fifty-eight million, one hundred eleven thousand, four hundred fifty-six".