8211848832 has 192 divisors, whose sum is σ = 26267211360. Its totient is φ = 2441287680.

The previous prime is 8211848831. The next prime is 8211848851. The reversal of 8211848832 is 2388481128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×8211848832² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8211848831) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 665503 + ... + 677729.

Almost surely, 2^8211848832 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 8211848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133605680).

8211848832 is an abundant number, since it is smaller than the sum of its proper divisors (18055362528).

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

8211848832 is a wasteful number, since it uses less digits than its factorization.

8211848832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12296 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 8211848832 is about 90619.2519942644. The cubic root of 8211848832 is about 2017.5004891216.

It can be divided in two parts, 82118488 and 32, that added together give a triangular number (82118520 = T₁₂₈₁₅).

The spelling of 8211848832 in words is "eight billion, two hundred eleven million, eight hundred forty-eight thousand, eight hundred thirty-two".