82663166412864 has 112 divisors (see below), whose sum is σ = 243019314417600. Its totient is φ = 27553831723008.

The previous prime is 82663166412847. The next prime is 82663166412877. The reversal of 82663166412864 is 46821466136628.

82663166412864 is a `hidden beast` number, since 8 + 26 + 63 + 1 + 66 + 412 + 86 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89897959 + ... + 90812825.

It is an arithmetic number, because the mean of its divisors is an integer number (2169815307300).

Almost surely, 2^{82663166412864} is an apocalyptic number.

It is an amenable number.

82663166412864 is an abundant number, since it is smaller than the sum of its proper divisors (160356148004736).

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

82663166412864 is a wasteful number, since it uses less digits than its factorization.

82663166412864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967177 (or 967161 counting only the distinct ones).

The product of its digits is 95551488, while the sum is 63.

The spelling of 82663166412864 in words is "eighty-two trillion, six hundred sixty-three billion, one hundred sixty-six million, four hundred twelve thousand, eight hundred sixty-four".