34553522535543 has 32 divisors (see below), whose sum is σ = 55862551342080. Its totient is φ = 20934600865920.

The previous prime is 34553522535491. The next prime is 34553522535589.

It is a happy number.

34553522535543 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 3 + 52 + 2 + 535 + 54 + 3 = 666.

34553522535543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34553522535543 - 2¹⁰ = 34553522534519 is a prime.

It is a super-2 number, since 2×34553522535543² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34553522535543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34553522535593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18344946 + ... + 20140607.

It is an arithmetic number, because the mean of its divisors is an integer number (1745704729440).

Almost surely, 2^{34553522535543} is an apocalyptic number.

34553522535543 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34553522535543 is a deficient number, since it is larger than the sum of its proper divisors (21309028806537).

34553522535543 is a wasteful number, since it uses less digits than its factorization.

34553522535543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38488596 (or 38488590 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 54.

The spelling of 34553522535543 in words is "thirty-four trillion, five hundred fifty-three billion, five hundred twenty-two million, five hundred thirty-five thousand, five hundred forty-three".