10045164741 has 16 divisors (see below), whose sum is σ = 13426568064. Its totient is φ = 6680291904.

The previous prime is 10045164671. The next prime is 10045164749. The reversal of 10045164741 is 14746154001.

10045164741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10045164741 - 2¹⁰ = 10045163717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045164749) 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, 2643655 + ... + 2647451.

It is an arithmetic number, because the mean of its divisors is an integer number (839160504).

Almost surely, 2^10045164741 is an apocalyptic number.

It is an amenable number.

10045164741 is a deficient number, since it is larger than the sum of its proper divisors (3381403323).

10045164741 is a wasteful number, since it uses less digits than its factorization.

10045164741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740.

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 10045164741 in words is "ten billion, forty-five million, one hundred sixty-four thousand, seven hundred forty-one".