10046338803215 has 144 divisors (see below), whose sum is σ = 14830044768000. Its totient is φ = 6518801203200.

The previous prime is 10046338803097. The next prime is 10046338803227. The reversal of 10046338803215 is 51230883364001.

It is a Cunningham number, because it is equal to 3169596²-1.

It is not a de Polignac number, because 10046338803215 - 2²⁸ = 10046070367759 is a prime.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 3654541661 + ... + 3654544409.

It is an arithmetic number, because the mean of its divisors is an integer number (102986422000).

Almost surely, 2^{10046338803215} is an apocalyptic number.

10046338803215 is a deficient number, since it is larger than the sum of its proper divisors (4783705964785).

10046338803215 is a wasteful number, since it uses less digits than its factorization.

10046338803215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 10046338803215 in words is "ten trillion, forty-six billion, three hundred thirty-eight million, eight hundred three thousand, two hundred fifteen".