2813701352688 has 120 divisors (see below), whose sum is σ = 7911676597968. Its totient is φ = 933469879296.

The previous prime is 2813701352687. The next prime is 2813701352689. The reversal of 2813701352688 is 8862531073182.

2813701352688 is a `hidden beast` number, since 2 + 8 + 1 + 37 + 0 + 1 + 3 + 526 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2813701352687) and next prime (2813701352689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2813701352687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117436006 + ... + 117459962.

Almost surely, 2^{2813701352688} 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 2813701352688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955838298984).

2813701352688 is an abundant number, since it is smaller than the sum of its proper divisors (5097975245280).

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

2813701352688 is a wasteful number, since it uses less digits than its factorization.

2813701352688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27791 (or 27782 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2813701352688 in words is "two trillion, eight hundred thirteen billion, seven hundred one million, three hundred fifty-two thousand, six hundred eighty-eight".