8211492844632 has 768 divisors, whose sum is σ = 30719885414400. Its totient is φ = 1990395348480.

The previous prime is 8211492844627. The next prime is 8211492844657. The reversal of 8211492844632 is 2364482941128.

8211492844632 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 492 + 84 + 46 + 32 = 666.

It is a super-2 number, since 2×8211492844632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 190531278 + ... + 190574370.

It is an arithmetic number, because the mean of its divisors is an integer number (39999850800).

Almost surely, 2^{8211492844632} 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 8211492844632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15359942707200).

8211492844632 is an abundant number, since it is smaller than the sum of its proper divisors (22508392569768).

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

8211492844632 is a wasteful number, since it uses less digits than its factorization.

8211492844632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43218 (or 43202 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 8211492844632 in words is "eight trillion, two hundred eleven billion, four hundred ninety-two million, eight hundred forty-four thousand, six hundred thirty-two".