10745677654701 has 16 divisors (see below), whose sum is σ = 15642035394048. Its totient is φ = 6507549076400.

The previous prime is 10745677654661. The next prime is 10745677654709.

10745677654701 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10745677654701 - 2¹¹ = 10745677652653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745677654709) 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 15 ways as a sum of consecutive naturals, for example, 124527105 + ... + 124613366.

It is an arithmetic number, because the mean of its divisors is an integer number (977627212128).

Almost surely, 2^{10745677654701} is an apocalyptic number.

10745677654701 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10745677654701 is a deficient number, since it is larger than the sum of its proper divisors (4896357739347).

10745677654701 is a wasteful number, since it uses less digits than its factorization.

10745677654701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249141792.

The product of its (nonzero) digits is 34574400, while the sum is 60.

The spelling of 10745677654701 in words is "ten trillion, seven hundred forty-five billion, six hundred seventy-seven million, six hundred fifty-four thousand, seven hundred one".