34144153045 has 16 divisors (see below), whose sum is σ = 41185332720. Its totient is φ = 27173952000.

The previous prime is 34144153019. The next prime is 34144153093. The reversal of 34144153045 is 54035144143.

It can be written as a sum of positive squares in 8 ways, for example, as 1330279729 + 32813873316 = 36473^2 + 181146^2 .

It is not a de Polignac number, because 34144153045 - 2¹⁷ = 34144021973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34144153045.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1478185 + ... + 1501105.

It is an arithmetic number, because the mean of its divisors is an integer number (2574083295).

Almost surely, 2^34144153045 is an apocalyptic number.

It is an amenable number.

34144153045 is a deficient number, since it is larger than the sum of its proper divisors (7041179675).

34144153045 is a wasteful number, since it uses less digits than its factorization.

34144153045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24456.

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 34144153045 its reverse (54035144143), we get a palindrome (88179297188).

The spelling of 34144153045 in words is "thirty-four billion, one hundred forty-four million, one hundred fifty-three thousand, forty-five".