34648144575 has 96 divisors (see below), whose sum is σ = 63487936512. Its totient is φ = 16533168000.

The previous prime is 34648144537. The next prime is 34648144591. The reversal of 34648144575 is 57544184643.

It is not a de Polignac number, because 34648144575 - 2¹⁷ = 34648013503 is a prime.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 21294912 + ... + 21296538.

It is an arithmetic number, because the mean of its divisors is an integer number (661332672).

Almost surely, 2^34648144575 is an apocalyptic number.

34648144575 is a deficient number, since it is larger than the sum of its proper divisors (28839791937).

34648144575 is a wasteful number, since it uses less digits than its factorization.

34648144575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2040 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 51.

The spelling of 34648144575 in words is "thirty-four billion, six hundred forty-eight million, one hundred forty-four thousand, five hundred seventy-five".