82649650656 has 48 divisors (see below), whose sum is σ = 226388179584. Its totient is φ = 26352061824.

The previous prime is 82649650651. The next prime is 82649650661. The reversal of 82649650656 is 65605694628.

It is an interprime number because it is at equal distance from previous prime (82649650651) and next prime (82649650661).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 82649650596 and 82649650605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82649650651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18713746 + ... + 18718161.

It is an arithmetic number, because the mean of its divisors is an integer number (4716420408).

Almost surely, 2^82649650656 is an apocalyptic number.

It is an amenable number.

82649650656 is an abundant number, since it is smaller than the sum of its proper divisors (143738528928).

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

82649650656 is a wasteful number, since it uses less digits than its factorization.

82649650656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37431943 (or 37431935 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 82649650656 in words is "eighty-two billion, six hundred forty-nine million, six hundred fifty thousand, six hundred fifty-six".