34345516653 has 48 divisors (see below), whose sum is σ = 60505436160. Its totient is φ = 18326020608.

The previous prime is 34345516643. The next prime is 34345516657. The reversal of 34345516653 is 35661554343.

34345516653 is a `hidden beast` number, since 3 + 4 + 34 + 551 + 6 + 65 + 3 = 666.

It is not a de Polignac number, because 34345516653 - 2⁶ = 34345516589 is a prime.

It is a super-2 number, since 2×34345516653² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34345516599 and 34345516608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34345516657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9763 + ... + 262271.

It is an arithmetic number, because the mean of its divisors is an integer number (1260529920).

Almost surely, 2^34345516653 is an apocalyptic number.

It is an amenable number.

34345516653 is a deficient number, since it is larger than the sum of its proper divisors (26159919507).

34345516653 is a wasteful number, since it uses less digits than its factorization.

34345516653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252666 (or 252663 counting only the distinct ones).

The product of its digits is 1944000, while the sum is 45.

The spelling of 34345516653 in words is "thirty-four billion, three hundred forty-five million, five hundred sixteen thousand, six hundred fifty-three".