166971090048 has 256 divisors, whose sum is σ = 518568652800. Its totient is φ = 46609219584.

The previous prime is 166971090023. The next prime is 166971090103. The reversal of 166971090048 is 840090179661.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128735736 + ... + 128737032.

It is an arithmetic number, because the mean of its divisors is an integer number (2025658800).

Almost surely, 2^166971090048 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 166971090048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259284326400).

166971090048 is an abundant number, since it is smaller than the sum of its proper divisors (351597562752).

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

166971090048 is a wasteful number, since it uses less digits than its factorization.

166971090048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2375 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 166971090048 in words is "one hundred sixty-six billion, nine hundred seventy-one million, ninety thousand, forty-eight".