8211334752 has 144 divisors (see below), whose sum is σ = 23738747760. Its totient is φ = 2691972096.

The previous prime is 8211334741. The next prime is 8211334763. The reversal of 8211334752 is 2574331128.

It is an interprime number because it is at equal distance from previous prime (8211334741) and next prime (8211334763).

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

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

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, 6429538 + ... + 6430814.

It is an arithmetic number, because the mean of its divisors is an integer number (164852415).

Almost surely, 2^8211334752 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 8211334752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869373880).

8211334752 is an abundant number, since it is smaller than the sum of its proper divisors (15527413008).

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

8211334752 is a wasteful number, since it uses less digits than its factorization.

8211334752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1634 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 8211334752 is about 90616.4154665147. The cubic root of 8211334752 is about 2017.4583882372.

The spelling of 8211334752 in words is "eight billion, two hundred eleven million, three hundred thirty-four thousand, seven hundred fifty-two".