166688431165440 has 2496 divisors, whose sum is σ = 634555129178880. Its totient is φ = 41930540974080.

The previous prime is 166688431165391. The next prime is 166688431165447. The reversal of 166688431165440 is 44561134886661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166688431165447) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1216703877052 + ... + 1216703877188.

It is an arithmetic number, because the mean of its divisors is an integer number (254228817780).

Almost surely, 2^{166688431165440} is an apocalyptic number.

166688431165440 is a gapful number since it is divisible by the number (10) 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 166688431165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317277564589440).

166688431165440 is an abundant number, since it is smaller than the sum of its proper divisors (467866698013440).

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

166688431165440 is an equidigital number, since it uses as much as digits as its factorization.

166688431165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 166688431165440 in words is "one hundred sixty-six trillion, six hundred eighty-eight billion, four hundred thirty-one million, one hundred sixty-five thousand, four hundred forty".