10143111989664 has 192 divisors, whose sum is σ = 31150606233600. Its totient is φ = 3202113648384.

The previous prime is 10143111989623. The next prime is 10143111989677. The reversal of 10143111989664 is 46698911134101.

10143111989664 is a `hidden beast` number, since 1 + 0 + 1 + 431 + 119 + 8 + 96 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 10143111989664.

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 31 ways as a sum of consecutive naturals, for example, 54852049 + ... + 55036655.

It is an arithmetic number, because the mean of its divisors is an integer number (162242740800).

Almost surely, 2^{10143111989664} 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 10143111989664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575303116800).

10143111989664 is an abundant number, since it is smaller than the sum of its proper divisors (21007494243936).

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

10143111989664 is a wasteful number, since it uses less digits than its factorization.

10143111989664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187992 (or 187978 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 10143111989664 in words is "ten trillion, one hundred forty-three billion, one hundred eleven million, nine hundred eighty-nine thousand, six hundred sixty-four".