10211634563345 has 16 divisors (see below), whose sum is σ = 12258450876672. Its totient is φ = 8166315183360.

The previous prime is 10211634563287. The next prime is 10211634563369. The reversal of 10211634563345 is 54336543611201.

It is a happy number.

It is not a de Polignac number, because 10211634563345 - 2²⁰ = 10211633514769 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211634563296 and 10211634563305.

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 15 ways as a sum of consecutive naturals, for example, 246381194 + ... + 246422636.

It is an arithmetic number, because the mean of its divisors is an integer number (766153179792).

Almost surely, 2^{10211634563345} is an apocalyptic number.

It is an amenable number.

10211634563345 is a deficient number, since it is larger than the sum of its proper divisors (2046816313327).

10211634563345 is a wasteful number, since it uses less digits than its factorization.

10211634563345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58312.

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 10211634563345 in words is "ten trillion, two hundred eleven billion, six hundred thirty-four million, five hundred sixty-three thousand, three hundred forty-five".