2311360856064 has 720 divisors, whose sum is σ = 7598588659200. Its totient is φ = 693682569216.

The previous prime is 2311360856059. The next prime is 2311360856069. The reversal of 2311360856064 is 4606580631132.

2311360856064 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 36 + 0 + 8 + 5 + 606 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2311360856059) and next prime (2311360856069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311360856069) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3214687897 + ... + 3214688615.

It is an arithmetic number, because the mean of its divisors is an integer number (10553595360).

Almost surely, 2^{2311360856064} is an apocalyptic number.

2311360856064 is a gapful number since it is divisible by the number (24) 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 2311360856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3799294329600).

2311360856064 is an abundant number, since it is smaller than the sum of its proper divisors (5287227803136).

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

2311360856064 is an equidigital number, since it uses as much as digits as its factorization.

2311360856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 2311360856064 in words is "two trillion, three hundred eleven billion, three hundred sixty million, eight hundred fifty-six thousand, sixty-four".