2311361568 has 216 divisors, whose sum is σ = 6956209260. Its totient is φ = 755827200.

The previous prime is 2311361537. The next prime is 2311361579. The reversal of 2311361568 is 8651631132.

2311361568 is a `hidden beast` number, since 2 + 31 + 1 + 3 + 61 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1970294544 + 341067024 = 44388^2 + 18468^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21205098 + ... + 21205206.

Almost surely, 2^2311361568 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 2311361568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478104630).

2311361568 is an abundant number, since it is smaller than the sum of its proper divisors (4644847692).

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

2311361568 is an equidigital number, since it uses as much as digits as its factorization.

2311361568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 215 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 2311361568 is about 48076.6218447178. The cubic root of 2311361568 is about 1322.1760800831.

It can be divided in two parts, 23113 and 61568, that added together give a square (84681 = 291²).

The spelling of 2311361568 in words is "two billion, three hundred eleven million, three hundred sixty-one thousand, five hundred sixty-eight".