2813662800128 has 72 divisors (see below), whose sum is σ = 5781156786048. Its totient is φ = 1365717030912.

The previous prime is 2813662800107. The next prime is 2813662800149. The reversal of 2813662800128 is 8210082663182.

It is an interprime number because it is at equal distance from previous prime (2813662800107) and next prime (2813662800149).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3860825 + ... + 4531367.

Almost surely, 2^{2813662800128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813662800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890578393024).

2813662800128 is an abundant number, since it is smaller than the sum of its proper divisors (2967493985920).

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

2813662800128 is an equidigital number, since it uses as much as digits as its factorization.

2813662800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671039 (or 671025 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 2813662800128 in words is "two trillion, eight hundred thirteen billion, six hundred sixty-two million, eight hundred thousand, one hundred twenty-eight".