34661243133 has 48 divisors (see below), whose sum is σ = 57795379200. Its totient is φ = 19810375200.

The previous prime is 34661243117. The next prime is 34661243269. The reversal of 34661243133 is 33134216643.

34661243133 is a `hidden beast` number, since 3 + 4 + 6 + 612 + 4 + 3 + 1 + 33 = 666.

34661243133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 34661243133 - 2⁴ = 34661243117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34661243633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54468 + ... + 268866.

It is an arithmetic number, because the mean of its divisors is an integer number (1204070400).

Almost surely, 2^34661243133 is an apocalyptic number.

34661243133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34661243133 is a deficient number, since it is larger than the sum of its proper divisors (23134136067).

34661243133 is a wasteful number, since it uses less digits than its factorization.

34661243133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214510 (or 214507 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

Adding to 34661243133 its reverse (33134216643), we get a palindrome (67795459776).

The spelling of 34661243133 in words is "thirty-four billion, six hundred sixty-one million, two hundred forty-three thousand, one hundred thirty-three".