10061767414001 has 16 divisors (see below), whose sum is σ = 10205750768400. Its totient is φ = 9918824917248.

The previous prime is 10061767413979. The next prime is 10061767414003. The reversal of 10061767414001 is 10041476716001.

It can be written as a sum of positive squares in 8 ways, for example, as 395233512976 + 9666533901025 = 628676^2 + 3109105^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10061767414001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10061767414003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21258215 + ... + 21726371.

It is an arithmetic number, because the mean of its divisors is an integer number (637859423025).

Almost surely, 2^{10061767414001} is an apocalyptic number.

It is an amenable number.

10061767414001 is a deficient number, since it is larger than the sum of its proper divisors (143983354399).

10061767414001 is a wasteful number, since it uses less digits than its factorization.

10061767414001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469268.

The product of its (nonzero) digits is 28224, while the sum is 38.

The spelling of 10061767414001 in words is "ten trillion, sixty-one billion, seven hundred sixty-seven million, four hundred fourteen thousand, one".