6408684645444 has 135 divisors (see below), whose sum is σ = 17799193853287. Its totient is φ = 2010324704256.

The previous prime is 6408684645437. The next prime is 6408684645449. The reversal of 6408684645444 is 4445464868046.

The square root of 6408684645444 is 2531538.

It is a perfect power (a square), and thus also a powerful number.

6408684645444 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 6 + 84 + 6 + 4 + 544 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1863601759044 + 4545082886400 = 1365138^2 + 2131920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6408684645449) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 774646492 + ... + 774654764.

Almost surely, 2^{6408684645444} is an apocalyptic number.

6408684645444 is the 2531538-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6408684645444

6408684645444 is an abundant number, since it is smaller than the sum of its proper divisors (11390509207843).

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

6408684645444 is an frugal number, since it uses more digits than its factorization.

6408684645444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16596 (or 8295 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 63.

The spelling of 6408684645444 in words is "six trillion, four hundred eight billion, six hundred eighty-four million, six hundred forty-five thousand, four hundred forty-four".