4261846752 has 144 divisors (see below), whose sum is σ = 12662133120. Its totient is φ = 1410037632.

The previous prime is 4261846747. The next prime is 4261846753. The reversal of 4261846752 is 2576481624.

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

It is a junction number, because it is equal to n+sod(n) for n = 4261846698 and 4261846707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261846753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1078893 + ... + 1082835.

It is an arithmetic number, because the mean of its divisors is an integer number (87931480).

Almost surely, 2^4261846752 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 4261846752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331066560).

4261846752 is an abundant number, since it is smaller than the sum of its proper divisors (8400286368).

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

4261846752 is a wasteful number, since it uses less digits than its factorization.

4261846752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4087 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4261846752 is about 65282.8212625649. The cubic root of 4261846752 is about 1621.3095583918.

The spelling of 4261846752 in words is "four billion, two hundred sixty-one million, eight hundred forty-six thousand, seven hundred fifty-two".