34638523145 has 16 divisors (see below), whose sum is σ = 44092710288. Its totient is φ = 26032527360.

The previous prime is 34638523079. The next prime is 34638523219. The reversal of 34638523145 is 54132583643.

It can be written as a sum of positive squares in 8 ways, for example, as 2543084041 + 32095439104 = 50429^2 + 179152^2 .

It is not a de Polignac number, because 34638523145 - 2⁸ = 34638522889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34638523096 and 34638523105.

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, 330644 + ... + 422613.

It is an arithmetic number, because the mean of its divisors is an integer number (2755794393).

Almost surely, 2^34638523145 is an apocalyptic number.

It is an amenable number.

34638523145 is a deficient number, since it is larger than the sum of its proper divisors (9454187143).

34638523145 is a wasteful number, since it uses less digits than its factorization.

34638523145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753820.

The product of its digits is 1036800, while the sum is 44.

The spelling of 34638523145 in words is "thirty-four billion, six hundred thirty-eight million, five hundred twenty-three thousand, one hundred forty-five".