6414564465200 has 60 divisors (see below), whose sum is σ = 15411296346048. Its totient is φ = 2565774969600.

The previous prime is 6414564465181. The next prime is 6414564465241. The reversal of 6414564465200 is 25644654146.

It is a super-2 number, since 2×6414564465200² (a number of 26 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 25065089 + ... + 25319711.

Almost surely, 2^{6414564465200} is an apocalyptic number.

It is an amenable number.

6414564465200 is an abundant number, since it is smaller than the sum of its proper divisors (8996731880848).

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

6414564465200 is a wasteful number, since it uses less digits than its factorization.

6414564465200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317622 (or 317611 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 47.

The spelling of 6414564465200 in words is "six trillion, four hundred fourteen billion, five hundred sixty-four million, four hundred sixty-five thousand, two hundred".