82288483164 has 72 divisors (see below), whose sum is σ = 212028660480. Its totient is φ = 26903925792.

The previous prime is 82288483163. The next prime is 82288483229. The reversal of 82288483164 is 46138488228.

82288483164 is a `hidden beast` number, since 8 + 2 + 288 + 48 + 316 + 4 = 666.

It is a super-3 number, since 3×82288483164³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 82288483164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82288483163) 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, 316269 + ... + 514395.

Almost surely, 2^82288483164 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 82288483164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106014330240).

82288483164 is an abundant number, since it is smaller than the sum of its proper divisors (129740177316).

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

82288483164 is a wasteful number, since it uses less digits than its factorization.

82288483164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198359 (or 198354 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 82288483164 in words is "eighty-two billion, two hundred eighty-eight million, four hundred eighty-three thousand, one hundred sixty-four".