10386901848961 has 6 divisors (see below), whose sum is σ = 11417007817586. Its totient is φ = 9442638044400.

The previous prime is 10386901848941. The next prime is 10386901849003. The reversal of 10386901848961 is 16984810968301.

It can be written as a sum of positive squares in only one way, i.e., 10221064761600 + 165837087361 = 3197040^2 + 407231^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10386901848961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10386901848893 and 10386901848902.

It is not an unprimeable number, because it can be changed into a prime (10386901848941) 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 5 ways as a sum of consecutive naturals, for example, 42921081900 + ... + 42921082141.

Almost surely, 2^{10386901848961} is an apocalyptic number.

10386901848961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10386901848961 is a deficient number, since it is larger than the sum of its proper divisors (1030105968625).

10386901848961 is an equidigital number, since it uses as much as digits as its factorization.

10386901848961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85842164063 (or 85842164052 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 64.

The spelling of 10386901848961 in words is "ten trillion, three hundred eighty-six billion, nine hundred one million, eight hundred forty-eight thousand, nine hundred sixty-one".