34553133135543 has 32 divisors (see below), whose sum is σ = 50960576620800. Its totient is φ = 20650833100800.

The previous prime is 34553133135419. The next prime is 34553133135583.

It is a happy number.

34553133135543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34553133135543 - 2¹⁷ = 34553133004471 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34553133135492 and 34553133135501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34553133135583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22004298 + ... + 23522231.

It is an arithmetic number, because the mean of its divisors is an integer number (1592518019400).

Almost surely, 2^{34553133135543} is an apocalyptic number.

34553133135543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34553133135543 is a deficient number, since it is larger than the sum of its proper divisors (16407443485257).

34553133135543 is a wasteful number, since it uses less digits than its factorization.

34553133135543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45526863.

The product of its digits is 7290000, while the sum is 48.

The spelling of 34553133135543 in words is "thirty-four trillion, five hundred fifty-three billion, one hundred thirty-three million, one hundred thirty-five thousand, five hundred forty-three".