2048817913813 has 16 divisors (see below), whose sum is σ = 2351526060672. Its totient is φ = 1781580768000.

The previous prime is 2048817913741. The next prime is 2048817913817. The reversal of 2048817913813 is 3183197188402.

It is not a de Polignac number, because 2048817913813 - 2²⁵ = 2048784359381 is a prime.

It is a super-2 number, since 2×2048817913813² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2048817913817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33432588 + ... + 33493813.

It is an arithmetic number, because the mean of its divisors is an integer number (146970378792).

Almost surely, 2^{2048817913813} is an apocalyptic number.

2048817913813 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2048817913813 is a deficient number, since it is larger than the sum of its proper divisors (302708146859).

2048817913813 is an equidigital number, since it uses as much as digits as its factorization.

2048817913813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66926457 (or 66926435 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 55.

The spelling of 2048817913813 in words is "two trillion, forty-eight billion, eight hundred seventeen million, nine hundred thirteen thousand, eight hundred thirteen".