166247115672 has 256 divisors, whose sum is σ = 482574827520. Its totient is φ = 47229811200.

The previous prime is 166247115569. The next prime is 166247115691. The reversal of 166247115672 is 276511742661.

166247115672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×166247115672³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 135933253 + ... + 135934475.

It is an arithmetic number, because the mean of its divisors is an integer number (1885057920).

Almost surely, 2^166247115672 is an apocalyptic number.

166247115672 is a gapful number since it is divisible by the number (12) 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 166247115672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241287413760).

166247115672 is an abundant number, since it is smaller than the sum of its proper divisors (316327711848).

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

166247115672 is a wasteful number, since it uses less digits than its factorization.

166247115672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1690 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The spelling of 166247115672 in words is "one hundred sixty-six billion, two hundred forty-seven million, one hundred fifteen thousand, six hundred seventy-two".