10014042665061 has 24 divisors (see below), whose sum is σ = 14486662149336. Its totient is φ = 6665908976640.

The previous prime is 10014042665021. The next prime is 10014042665089. The reversal of 10014042665061 is 16056624041001.

10014042665061 is a `hidden beast` number, since 1 + 0 + 0 + 140 + 4 + 2 + 6 + 6 + 506 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419573585025 + 9594469080036 = 647745^2 + 3097494^2 .

It is not a de Polignac number, because 10014042665061 - 2¹¹ = 10014042663013 is a prime.

It is a super-3 number, since 3×10014042665061³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014042665021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31573081 + ... + 31888673.

It is an arithmetic number, because the mean of its divisors is an integer number (603610922889).

Almost surely, 2^{10014042665061} is an apocalyptic number.

It is an amenable number.

10014042665061 is a deficient number, since it is larger than the sum of its proper divisors (4472619484275).

10014042665061 is a wasteful number, since it uses less digits than its factorization.

10014042665061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320933 (or 320930 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 10014042665061 in words is "ten trillion, fourteen billion, forty-two million, six hundred sixty-five thousand, sixty-one".