2363113632 has 192 divisors, whose sum is σ = 7177863168. Its totient is φ = 673920000.

The previous prime is 2363113591. The next prime is 2363113673.

2363113632 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2363113591) and next prime (2363113673).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2363113632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210257 + ... + 1212207.

It is an arithmetic number, because the mean of its divisors is an integer number (37384704).

Almost surely, 2^2363113632 is an apocalyptic number.

2363113632 is a gapful number since it is divisible by the number (22) 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 2363113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588931584).

2363113632 is an abundant number, since it is smaller than the sum of its proper divisors (4814749536).

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

2363113632 is a wasteful number, since it uses less digits than its factorization.

2363113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2035 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 2363113632 is about 48611.8671931042. The cubic root of 2363113632 is about 1331.9713040198.

The spelling of 2363113632 in words is "two billion, three hundred sixty-three million, one hundred thirteen thousand, six hundred thirty-two".