166682351537856 has 1344 divisors, whose sum is σ = 622681908710400. Its totient is φ = 42472636416000.

The previous prime is 166682351537837. The next prime is 166682351537869. The reversal of 166682351537856 is 658735153286661.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 216752082240 + ... + 216752083008.

It is an arithmetic number, because the mean of its divisors is an integer number (463304991600).

Almost surely, 2^{166682351537856} is an apocalyptic number.

166682351537856 is a gapful number since it is divisible by the number (16) 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 166682351537856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311340954355200).

166682351537856 is an abundant number, since it is smaller than the sum of its proper divisors (455999557172544).

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

166682351537856 is a wasteful number, since it uses less digits than its factorization.

166682351537856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1020 counting only the distinct ones).

The product of its digits is 1306368000, while the sum is 72.

The spelling of 166682351537856 in words is "one hundred sixty-six trillion, six hundred eighty-two billion, three hundred fifty-one million, five hundred thirty-seven thousand, eight hundred fifty-six".