10690848486461 has 128 divisors (see below), whose sum is σ = 13338278553600. Its totient is φ = 8435306880000.

The previous prime is 10690848486457. The next prime is 10690848486463. The reversal of 10690848486461 is 16468484809601.

It is not a de Polignac number, because 10690848486461 - 2² = 10690848486457 is a prime.

It is a super-2 number, since 2×10690848486461² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690848486463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15250853411 + ... + 15250854111.

It is an arithmetic number, because the mean of its divisors is an integer number (104205301200).

Almost surely, 2^{10690848486461} is an apocalyptic number.

10690848486461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10690848486461 is a deficient number, since it is larger than the sum of its proper divisors (2647430067139).

10690848486461 is a wasteful number, since it uses less digits than its factorization.

10690848486461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371.

The product of its (nonzero) digits is 63700992, while the sum is 65.

The spelling of 10690848486461 in words is "ten trillion, six hundred ninety billion, eight hundred forty-eight million, four hundred eighty-six thousand, four hundred sixty-one".