82670974000164 has 189 divisors, whose sum is σ = 238439597770731. Its totient is φ = 25050173678640.

The previous prime is 82670974000157. The next prime is 82670974000207. The reversal of 82670974000164 is 46100047907628.

The square root of 82670974000164 is 9092358.

It is a perfect power (a square), and thus also a powerful number.

82670974000164 is a `hidden beast` number, since 8 + 2 + 6 + 70 + 9 + 7 + 400 + 0 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 82670974000164.

It is an unprimeable number.

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 62 ways as a sum of consecutive naturals, for example, 5400852999 + ... + 5400868305.

Almost surely, 2^{82670974000164} is an apocalyptic number.

82670974000164 is the 9092358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82670974000164

82670974000164 is an abundant number, since it is smaller than the sum of its proper divisors (155768623770567).

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

82670974000164 is an frugal number, since it uses more digits than its factorization.

82670974000164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30658 (or 15323 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 82670974000164 in words is "eighty-two trillion, six hundred seventy billion, nine hundred seventy-four million, one hundred sixty-four", and thus it is an aban number.