34752144125743 has 16 divisors (see below), whose sum is σ = 38014815168000. Its totient is φ = 31506818162400.

The previous prime is 34752144125737. The next prime is 34752144125779.

34752144125743 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34752144125743 - 2⁴¹ = 32553120870191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34752144125143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3232758 + ... + 8941756.

It is an arithmetic number, because the mean of its divisors is an integer number (2375925948000).

Almost surely, 2^{34752144125743} is an apocalyptic number.

34752144125743 is a deficient number, since it is larger than the sum of its proper divisors (3262671042257).

34752144125743 is a wasteful number, since it uses less digits than its factorization.

34752144125743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710518.

The product of its digits is 11289600, while the sum is 52.

The spelling of 34752144125743 in words is "thirty-four trillion, seven hundred fifty-two billion, one hundred forty-four million, one hundred twenty-five thousand, seven hundred forty-three".