82211812488 has 192 divisors, whose sum is σ = 254451637440. Its totient is φ = 24707337984.

The previous prime is 82211812483. The next prime is 82211812493. The reversal of 82211812488 is 88421811228.

82211812488 is a `hidden beast` number, since 8 + 221 + 181 + 248 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82211812483) and next prime (82211812493).

It is a super-2 number, since 2×82211812488² (a number of 23 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 (82211812483) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1048870 + ... + 1124522.

It is an arithmetic number, because the mean of its divisors is an integer number (1325268945).

Almost surely, 2^82211812488 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 82211812488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127225818720).

82211812488 is an abundant number, since it is smaller than the sum of its proper divisors (172239824952).

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

82211812488 is a wasteful number, since it uses less digits than its factorization.

82211812488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75730 (or 75714 counting only the distinct ones).

The product of its digits is 131072, while the sum is 45.

The spelling of 82211812488 in words is "eighty-two billion, two hundred eleven million, eight hundred twelve thousand, four hundred eighty-eight".