2813112455328 has 216 divisors, whose sum is σ = 9315685829268. Its totient is φ = 802899191808.

The previous prime is 2813112455327. The next prime is 2813112455381. The reversal of 2813112455328 is 8235542113182.

2813112455328 is a `hidden beast` number, since 2 + 8 + 1 + 311 + 2 + 4 + 5 + 5 + 328 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2549093241744 + 264019213584 = 1596588^2 + 513828^2 .

It is not an unprimeable number, because it can be changed into a prime (2813112455327) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13344150 + ... + 13553322.

Almost surely, 2^{2813112455328} is an apocalyptic number.

2813112455328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2813112455328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4657842914634).

2813112455328 is an abundant number, since it is smaller than the sum of its proper divisors (6502573373940).

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

2813112455328 is a wasteful number, since it uses less digits than its factorization.

2813112455328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210156 (or 210138 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 2813112455328 in words is "two trillion, eight hundred thirteen billion, one hundred twelve million, four hundred fifty-five thousand, three hundred twenty-eight".