10019833129746 has 96 divisors (see below), whose sum is σ = 23920051716288. Its totient is φ = 3005989585920.

The previous prime is 10019833129741. The next prime is 10019833129799. The reversal of 10019833129746 is 64792133891001.

10019833129746 is a `hidden beast` number, since 1 + 0 + 0 + 19 + 8 + 331 + 297 + 4 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10019833129692 and 10019833129701.

It is not an unprimeable number, because it can be changed into a prime (10019833129741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32749590 + ... + 33054126.

It is an arithmetic number, because the mean of its divisors is an integer number (249167205378).

Almost surely, 2^{10019833129746} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10019833129746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960025858144).

10019833129746 is an abundant number, since it is smaller than the sum of its proper divisors (13900218586542).

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

10019833129746 is a wasteful number, since it uses less digits than its factorization.

10019833129746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306216 (or 306213 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 10019833129746 in words is "ten trillion, nineteen billion, eight hundred thirty-three million, one hundred twenty-nine thousand, seven hundred forty-six".