10019833129745 has 16 divisors (see below), whose sum is σ = 12085414796880. Its totient is φ = 7974878822400.

The previous prime is 10019833129741. The next prime is 10019833129799. The reversal of 10019833129745 is 54792133891001.

It is a Cunningham number, because it is equal to 3165412²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 14258270464 + 10005574859281 = 119408^2 + 3163159^2 .

It is not a de Polignac number, because 10019833129745 - 2² = 10019833129741 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 4662230 + ... + 6463439.

It is an arithmetic number, because the mean of its divisors is an integer number (755338424805).

Almost surely, 2^{10019833129745} is an apocalyptic number.

It is an amenable number.

10019833129745 is a deficient number, since it is larger than the sum of its proper divisors (2065581667135).

10019833129745 is a wasteful number, since it uses less digits than its factorization.

10019833129745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11126596.

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 10019833129745 in words is "ten trillion, nineteen billion, eight hundred thirty-three million, one hundred twenty-nine thousand, seven hundred forty-five".