10144765761 has 16 divisors (see below), whose sum is σ = 15069149760. Its totient is φ = 6027658560.

The previous prime is 10144765753. The next prime is 10144765769. The reversal of 10144765761 is 16756744101.

It is a happy number.

10144765761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10144765753) and next prime (10144765769).

It is not a de Polignac number, because 10144765761 - 2³ = 10144765753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10144765769) 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, 4483735 + ... + 4485996.

It is an arithmetic number, because the mean of its divisors is an integer number (941821860).

Almost surely, 2^10144765761 is an apocalyptic number.

It is an amenable number.

10144765761 is a deficient number, since it is larger than the sum of its proper divisors (4924383999).

10144765761 is a wasteful number, since it uses less digits than its factorization.

10144765761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8969776.

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 10144765761 in words is "ten billion, one hundred forty-four million, seven hundred sixty-five thousand, seven hundred sixty-one".