29735674609345 has 16 divisors (see below), whose sum is σ = 37567753554240. Its totient is φ = 22532370433344.

The previous prime is 29735674609339. The next prime is 29735674609357. The reversal of 29735674609345 is 54390647653792.

It is a cyclic number.

It is not a de Polignac number, because 29735674609345 - 2³³ = 29727084674753 is a prime.

It is a super-2 number, since 2×29735674609345² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28236094 + ... + 29270263.

It is an arithmetic number, because the mean of its divisors is an integer number (2347984597140).

Almost surely, 2^{29735674609345} is an apocalyptic number.

It is an amenable number.

29735674609345 is a deficient number, since it is larger than the sum of its proper divisors (7832078944895).

29735674609345 is a wasteful number, since it uses less digits than its factorization.

29735674609345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57511824.

The product of its (nonzero) digits is 1028764800, while the sum is 70.

The spelling of 29735674609345 in words is "twenty-nine trillion, seven hundred thirty-five billion, six hundred seventy-four million, six hundred nine thousand, three hundred forty-five".