10166001650112 has 448 divisors, whose sum is σ = 35319789379584. Its totient is φ = 2502100930560.

The previous prime is 10166001650093. The next prime is 10166001650213. The reversal of 10166001650112 is 21105610066101.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10166001650112² (a number of 27 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 10166001650112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36243718 + ... + 36523130.

Almost surely, 2^{10166001650112} is an apocalyptic number.

10166001650112 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 10166001650112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17659894689792).

10166001650112 is an abundant number, since it is smaller than the sum of its proper divisors (25153787729472).

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

10166001650112 is a wasteful number, since it uses less digits than its factorization.

10166001650112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279576 (or 279566 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The spelling of 10166001650112 in words is "ten trillion, one hundred sixty-six billion, one million, six hundred fifty thousand, one hundred twelve".