34535240541 has 16 divisors (see below), whose sum is σ = 53856126400. Its totient is φ = 21811730544.

The previous prime is 34535240539. The next prime is 34535240557. The reversal of 34535240541 is 14504253543.

34535240541 is a `hidden beast` number, since 3 + 45 + 35 + 2 + 40 + 541 = 666.

It is not a de Polignac number, because 34535240541 - 2¹ = 34535240539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34535240496 and 34535240505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34535240501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33659566 + ... + 33660591.

It is an arithmetic number, because the mean of its divisors is an integer number (3366007900).

Almost surely, 2^34535240541 is an apocalyptic number.

It is an amenable number.

34535240541 is a deficient number, since it is larger than the sum of its proper divisors (19320885859).

34535240541 is a wasteful number, since it uses less digits than its factorization.

34535240541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67320185 (or 67320179 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34535240541 in words is "thirty-four billion, five hundred thirty-five million, two hundred forty thousand, five hundred forty-one".