34688521233 has 12 divisors (see below), whose sum is σ = 53053032708. Its totient is φ = 21765346560.

The previous prime is 34688521193. The next prime is 34688521243. The reversal of 34688521233 is 33212588643.

34688521233 is a `hidden beast` number, since 3 + 46 + 88 + 521 + 2 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21989034369 + 12699486864 = 148287^2 + 112692^2 .

It is not a de Polignac number, because 34688521233 - 2⁶ = 34688521169 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34688521243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113361028 + ... + 113361333.

It is an arithmetic number, because the mean of its divisors is an integer number (4421086059).

Almost surely, 2^34688521233 is an apocalyptic number.

It is an amenable number.

34688521233 is a deficient number, since it is larger than the sum of its proper divisors (18364511475).

34688521233 is a wasteful number, since it uses less digits than its factorization.

34688521233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226722384 (or 226722381 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 34688521233 in words is "thirty-four billion, six hundred eighty-eight million, five hundred twenty-one thousand, two hundred thirty-three".