6345456512 has 64 divisors (see below), whose sum is σ = 12994400160. Its totient is φ = 3084656640.

The previous prime is 6345456479. The next prime is 6345456529. The reversal of 6345456512 is 2156545436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6345456512² = 80529636691366412288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 6345456512.

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 7 ways as a sum of consecutive naturals, for example, 1640693 + ... + 1644555.

Almost surely, 2^6345456512 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 6345456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497200080).

6345456512 is an abundant number, since it is smaller than the sum of its proper divisors (6648943648).

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

6345456512 is a wasteful number, since it uses less digits than its factorization.

6345456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231 (or 4219 counting only the distinct ones).

The product of its digits is 432000, while the sum is 41.

The square root of 6345456512 is about 79658.3737720021. The cubic root of 6345456512 is about 1851.3461361094.

The spelling of 6345456512 in words is "six billion, three hundred forty-five million, four hundred fifty-six thousand, five hundred twelve".