10048884001 has 32 divisors (see below), whose sum is σ = 11164275360. Its totient is φ = 8988672000.

The previous prime is 10048883969. The next prime is 10048884007.

It is a happy number.

10048884001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 8402472225 + 1646411776 = 91665^2 + 40576^2 .

It is a cyclic number.

It is not a de Polignac number, because 10048884001 - 2⁵ = 10048883969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10048884007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13204461 + ... + 13205221.

It is an arithmetic number, because the mean of its divisors is an integer number (348883605).

Almost surely, 2^10048884001 is an apocalyptic number.

It is an amenable number.

10048884001 is a deficient number, since it is larger than the sum of its proper divisors (1115391359).

10048884001 is a wasteful number, since it uses less digits than its factorization.

10048884001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077.

The product of its (nonzero) digits is 8192, while the sum is 34.

The spelling of 10048884001 in words is "ten billion, forty-eight million, eight hundred eighty-four thousand, one".