4113252864 has 180 divisors, whose sum is σ = 13810027374. Its totient is φ = 1175150592.

The previous prime is 4113252853. The next prime is 4113252883. The reversal of 4113252864 is 4682523114.

It is a happy number.

4113252864 is a `hidden beast` number, since 41 + 1 + 32 + 528 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3863865600 + 249387264 = 62160^2 + 15792^2 .

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 17 ways as a sum of consecutive naturals, for example, 216684 + ... + 234900.

Almost surely, 2^4113252864 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 4113252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905013687).

4113252864 is an abundant number, since it is smaller than the sum of its proper divisors (9696774510).

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

4113252864 is a wasteful number, since it uses less digits than its factorization.

4113252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18255 (or 18229 counting only the distinct ones).

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

The square root of 4113252864 is about 64134.6463621653. The cubic root of 4113252864 is about 1602.2433198941.

Adding to 4113252864 its reverse (4682523114), we get a palindrome (8795775978).

The spelling of 4113252864 in words is "four billion, one hundred thirteen million, two hundred fifty-two thousand, eight hundred sixty-four".