34653503465793 has 12 divisors (see below), whose sum is σ = 50331607859988. Its totient is φ = 22974698429280.

The previous prime is 34653503465783. The next prime is 34653503465803. The reversal of 34653503465793 is 39756430535643.

34653503465793 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 3 + 50 + 3 + 4 + 6 + 579 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (34653503465783) and next prime (34653503465803).

It can be written as a sum of positive squares in 2 ways, for example, as 8808145493904 + 25845357971889 = 2967852^2 + 5083833^2 .

It is not a de Polignac number, because 34653503465793 - 2⁹ = 34653503465281 is a prime.

It is a super-2 number, since 2×34653503465793² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34653503465793.

It is not an unprimeable number, because it can be changed into a prime (34653503465783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10636432830 + ... + 10636436087.

It is an arithmetic number, because the mean of its divisors is an integer number (4194300654999).

Almost surely, 2^{34653503465793} is an apocalyptic number.

It is an amenable number.

34653503465793 is a deficient number, since it is larger than the sum of its proper divisors (15678104394195).

34653503465793 is a wasteful number, since it uses less digits than its factorization.

34653503465793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21272869104 (or 21272869101 counting only the distinct ones).

The product of its (nonzero) digits is 367416000, while the sum is 63.

The spelling of 34653503465793 in words is "thirty-four trillion, six hundred fifty-three billion, five hundred three million, four hundred sixty-five thousand, seven hundred ninety-three".