82522244364 has 144 divisors (see below), whose sum is σ = 236546811648. Its totient is φ = 22280641152.

The previous prime is 82522244327. The next prime is 82522244369. The reversal of 82522244364 is 46344222528.

It is a super-3 number, since 3×82522244364³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82522244369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085734 + ... + 1159250.

It is an arithmetic number, because the mean of its divisors is an integer number (1642686192).

Almost surely, 2^82522244364 is an apocalyptic number.

82522244364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82522244364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118273405824).

82522244364 is an abundant number, since it is smaller than the sum of its proper divisors (154024567284).

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

82522244364 is a wasteful number, since it uses less digits than its factorization.

82522244364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73644 (or 73635 counting only the distinct ones).

The product of its digits is 737280, while the sum is 42.

The spelling of 82522244364 in words is "eighty-two billion, five hundred twenty-two million, two hundred forty-four thousand, three hundred sixty-four".