34814756853 has 20 divisors (see below), whose sum is σ = 53800585740. Its totient is φ = 22409497152.

The previous prime is 34814756849. The next prime is 34814756857. The reversal of 34814756853 is 35865741843.

34814756853 is a `hidden beast` number, since 34 + 8 + 1 + 47 + 568 + 5 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (34814756849) and next prime (34814756857).

It can be written as a sum of positive squares in 2 ways, for example, as 6785970129 + 28028786724 = 82377^2 + 167418^2 .

It is not a de Polignac number, because 34814756853 - 2² = 34814756849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34814756853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34814756857) 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 19 ways as a sum of consecutive naturals, for example, 7408200 + ... + 7412897.

It is an arithmetic number, because the mean of its divisors is an integer number (2690029287).

Almost surely, 2^34814756853 is an apocalyptic number.

It is an amenable number.

34814756853 is a deficient number, since it is larger than the sum of its proper divisors (18985828887).

34814756853 is a wasteful number, since it uses less digits than its factorization.

34814756853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14821138 (or 14821129 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 34814756853 in words is "thirty-four billion, eight hundred fourteen million, seven hundred fifty-six thousand, eight hundred fifty-three".