4251163104 has 144 divisors (see below), whose sum is σ = 12267309600. Its totient is φ = 1396362240.

The previous prime is 4251163087. The next prime is 4251163181. The reversal of 4251163104 is 4013611524.

It is a happy number.

4251163104 is a `hidden beast` number, since 4 + 25 + 1 + 1 + 631 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6736869 + ... + 6737499.

It is an arithmetic number, because the mean of its divisors is an integer number (85189650).

Almost surely, 2^4251163104 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 4251163104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133654800).

4251163104 is an abundant number, since it is smaller than the sum of its proper divisors (8016146496).

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

4251163104 is a wasteful number, since it uses less digits than its factorization.

4251163104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4251163104 is about 65200.9440422453. The cubic root of 4251163104 is about 1619.9536520805.

Adding to 4251163104 its reverse (4013611524), we get a palindrome (8264774628).

The spelling of 4251163104 in words is "four billion, two hundred fifty-one million, one hundred sixty-three thousand, one hundred four".