4511242368 has 96 divisors (see below), whose sum is σ = 13036237500. Its totient is φ = 1497415680.

The previous prime is 4511242367. The next prime is 4511242391. The reversal of 4511242368 is 8632421154.

It is a happy number.

4511242368 is a `hidden beast` number, since 4 + 51 + 1 + 242 + 368 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4365509184 + 145733184 = 66072^2 + 12072^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (4511242367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269508 + ... + 285756.

Almost surely, 2^4511242368 is an apocalyptic number.

4511242368 is a gapful number since it is divisible by the number (48) 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 4511242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518118750).

4511242368 is an abundant number, since it is smaller than the sum of its proper divisors (8524995132).

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

4511242368 is a wasteful number, since it uses less digits than its factorization.

4511242368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16510 (or 16495 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 4511242368 is about 67165.7827170949. The cubic root of 4511242368 is about 1652.3373507619.

The spelling of 4511242368 in words is "four billion, five hundred eleven million, two hundred forty-two thousand, three hundred sixty-eight".