10006031648 has 18 divisors (see below), whose sum is σ = 19700488899. Its totient is φ = 5002732896.

The previous prime is 10006031593. The next prime is 10006031657. The reversal of 10006031648 is 84613060001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5003015824 + 5003015824 = 70732^2 + 70732^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70732.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006031648.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 557015 + ... + 574697.

Almost surely, 2^10006031648 is an apocalyptic number.

It is an amenable number.

10006031648 is a deficient number, since it is larger than the sum of its proper divisors (9694457251).

10006031648 is an frugal number, since it uses more digits than its factorization.

10006031648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35376 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

Adding to 10006031648 its reverse (84613060001), we get a palindrome (94619091649).

The spelling of 10006031648 in words is "ten billion, six million, thirty-one thousand, six hundred forty-eight".