166071131252448 has 192 divisors, whose sum is σ = 474135088896000. Its totient is φ = 50703389614080.

The previous prime is 166071131252357. The next prime is 166071131252473. The reversal of 166071131252448 is 844252131170661.

It is a happy number.

It is a super-2 number, since 2×166071131252448² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166071131252448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57914740 + ... + 60714572.

It is an arithmetic number, because the mean of its divisors is an integer number (2469453588000).

Almost surely, 2^{166071131252448} 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 166071131252448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237067544448000).

166071131252448 is an abundant number, since it is smaller than the sum of its proper divisors (308063957643552).

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

166071131252448 is a wasteful number, since it uses less digits than its factorization.

166071131252448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800945 (or 2800937 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 166071131252448 in words is "one hundred sixty-six trillion, seventy-one billion, one hundred thirty-one million, two hundred fifty-two thousand, four hundred forty-eight".