166421465728 has 512 divisors, whose sum is σ = 444165120000. Its totient is φ = 60383232000.

The previous prime is 166421465719. The next prime is 166421465759. The reversal of 166421465728 is 827564124661.

166421465728 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-2 number, since 2×166421465728² (a number of 23 digits) contains 22 as substring.

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, 663033603 + ... + 663033853.

It is an arithmetic number, because the mean of its divisors is an integer number (867510000).

Almost surely, 2^166421465728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166421465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222082560000).

166421465728 is an abundant number, since it is smaller than the sum of its proper divisors (277743654272).

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

166421465728 is a wasteful number, since it uses less digits than its factorization.

166421465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 404 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 166421465728 in words is "one hundred sixty-six billion, four hundred twenty-one million, four hundred sixty-five thousand, seven hundred twenty-eight".