82666904174448 has 640 divisors, whose sum is σ = 269770162176000. Its totient is φ = 21500534246400.

The previous prime is 82666904174441. The next prime is 82666904174527. The reversal of 82666904174448 is 84447140966628.

It is a super-2 number, since 2×82666904174448² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82666904174441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336059403 + ... + 336305301.

It is an arithmetic number, because the mean of its divisors is an integer number (421515878400).

Almost surely, 2^{82666904174448} is an apocalyptic number.

82666904174448 is a gapful number since it is divisible by the number (88) 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 82666904174448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134885081088000).

82666904174448 is an abundant number, since it is smaller than the sum of its proper divisors (187103258001552).

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

82666904174448 is a wasteful number, since it uses less digits than its factorization.

82666904174448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246041 (or 246035 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 69.

The spelling of 82666904174448 in words is "eighty-two trillion, six hundred sixty-six billion, nine hundred four million, one hundred seventy-four thousand, four hundred forty-eight".