166116315988504 has 128 divisors (see below), whose sum is σ = 361952825011200. Its totient is φ = 70005441945600.

The previous prime is 166116315988463. The next prime is 166116315988577. The reversal of 166116315988504 is 405889513611661.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1166205672 + ... + 1166348104.

It is an arithmetic number, because the mean of its divisors is an integer number (2827756445400).

Almost surely, 2^{166116315988504} is an apocalyptic number.

166116315988504 is a gapful number since it is divisible by the number (14) 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 166116315988504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180976412505600).

166116315988504 is an abundant number, since it is smaller than the sum of its proper divisors (195836509022696).

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

166116315988504 is a wasteful number, since it uses less digits than its factorization.

166116315988504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143993 (or 143989 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 64.

The spelling of 166116315988504 in words is "one hundred sixty-six trillion, one hundred sixteen billion, three hundred fifteen million, nine hundred eighty-eight thousand, five hundred four".