2803105463248 has 120 divisors (see below), whose sum is σ = 5760635936328. Its totient is φ = 1320999837696.

The previous prime is 2803105463243. The next prime is 2803105463273. The reversal of 2803105463248 is 8423645013082.

2803105463248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1446747084864 + 1356358378384 = 1202808^2 + 1164628^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 2803105463198 and 2803105463207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2803105463243) 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, 1159744536 + ... + 1159746952.

Almost surely, 2^{2803105463248} 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 2803105463248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880317968164).

2803105463248 is an abundant number, since it is smaller than the sum of its proper divisors (2957530473080).

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

2803105463248 is a wasteful number, since it uses less digits than its factorization.

2803105463248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 2803105463248 in words is "two trillion, eight hundred three billion, one hundred five million, four hundred sixty-three thousand, two hundred forty-eight".