10186229941888 has 864 divisors, whose sum is σ = 28765531982880. Its totient is φ = 3576247234560.

The previous prime is 10186229941841. The next prime is 10186229941907. The reversal of 10186229941888 is 88814992268101.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5515012581 + ... + 5515014427.

It is an arithmetic number, because the mean of its divisors is an integer number (33293439795).

Almost surely, 2^{10186229941888} 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 10186229941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382765991440).

10186229941888 is an abundant number, since it is smaller than the sum of its proper divisors (18579302040992).

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

10186229941888 is a wasteful number, since it uses less digits than its factorization.

10186229941888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 67.

The spelling of 10186229941888 in words is "ten trillion, one hundred eighty-six billion, two hundred twenty-nine million, nine hundred forty-one thousand, eight hundred eighty-eight".