166124421203532 has 288 divisors, whose sum is σ = 429980376672000. Its totient is φ = 49506138316800.

The previous prime is 166124421203491. The next prime is 166124421203537. The reversal of 166124421203532 is 235302124421661.

166124421203532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (166124421203537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158364557344 + ... + 158364558392.

It is an arithmetic number, because the mean of its divisors is an integer number (1492987419000).

Almost surely, 2^{166124421203532} is an apocalyptic number.

166124421203532 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 166124421203532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214990188336000).

166124421203532 is an abundant number, since it is smaller than the sum of its proper divisors (263855955468468).

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

166124421203532 is a wasteful number, since it uses less digits than its factorization.

166124421203532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 166124421203532 in words is "one hundred sixty-six trillion, one hundred twenty-four billion, four hundred twenty-one million, two hundred three thousand, five hundred thirty-two".