82144188864 has 126 divisors (see below), whose sum is σ = 243293341200. Its totient is φ = 26497946880.

The previous prime is 82144188827. The next prime is 82144188943. The reversal of 82144188864 is 46888144128.

82144188864 is a `hidden beast` number, since 8 + 214 + 418 + 8 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×82144188864² (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 a self number, because there is not a number n which added to its sum of digits gives 82144188864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 479337 + ... + 627735.

Almost surely, 2^82144188864 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 82144188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121646670600).

82144188864 is an abundant number, since it is smaller than the sum of its proper divisors (161149152336).

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

82144188864 is a wasteful number, since it uses less digits than its factorization.

82144188864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148479 (or 148435 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The spelling of 82144188864 in words is "eighty-two billion, one hundred forty-four million, one hundred eighty-eight thousand, eight hundred sixty-four".