82864846484208 has 80 divisors (see below), whose sum is σ = 243654087952800. Its totient is φ = 26947917550080.

The previous prime is 82864846484207. The next prime is 82864846484209. The reversal of 82864846484208 is 80248464846828.

It is a happy number.

82864846484208 is a `hidden beast` number, since 8 + 2 + 8 + 6 + 484 + 64 + 84 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (82864846484207) and next prime (82864846484209).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82864846484201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2339211243 + ... + 2339246666.

It is an arithmetic number, because the mean of its divisors is an integer number (3045676099410).

Almost surely, 2^{82864846484208} is an apocalyptic number.

It is an amenable number.

82864846484208 is an abundant number, since it is smaller than the sum of its proper divisors (160789241468592).

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

82864846484208 is a wasteful number, since it uses less digits than its factorization.

82864846484208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4678457967 (or 4678457955 counting only the distinct ones).

The product of its (nonzero) digits is 1207959552, while the sum is 72.

The spelling of 82864846484208 in words is "eighty-two trillion, eight hundred sixty-four billion, eight hundred forty-six million, four hundred eighty-four thousand, two hundred eight".