6388499009952 has 144 divisors (see below), whose sum is σ = 18190999106280. Its totient is φ = 2126723106816.

The previous prime is 6388499009951. The next prime is 6388499009993. The reversal of 6388499009952 is 2599009948836.

6388499009952 is a `hidden beast` number, since 6 + 3 + 88 + 499 + 0 + 0 + 9 + 9 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6379887912336 + 8611097616 = 2525844^2 + 92796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6388499009951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913030518 + ... + 913037514.

Almost surely, 2^{6388499009952} is an apocalyptic number.

It is an amenable number.

6388499009952 is an abundant number, since it is smaller than the sum of its proper divisors (11802500096328).

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

6388499009952 is a wasteful number, since it uses less digits than its factorization.

6388499009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 6388499009952 in words is "six trillion, three hundred eighty-eight billion, four hundred ninety-nine million, nine thousand, nine hundred fifty-two".