34641133114643 has 8 divisors (see below), whose sum is σ = 38712042328176. Its totient is φ = 30723843116800.

The previous prime is 34641133114639. The next prime is 34641133114663.

It is a happy number.

34641133114643 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34641133114643 - 2² = 34641133114639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34641133114594 and 34641133114603.

It is not an unprimeable number, because it can be changed into a prime (34641133114603) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38404803446 + ... + 38404804347.

It is an arithmetic number, because the mean of its divisors is an integer number (4839005291022).

Almost surely, 2^{34641133114643} is an apocalyptic number.

34641133114643 is a deficient number, since it is larger than the sum of its proper divisors (4070909213533).

34641133114643 is a wasteful number, since it uses less digits than its factorization.

34641133114643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76809607845.

The product of its digits is 746496, while the sum is 44.

It can be divided in two parts, 3464113 and 3114643, that added together give a palindrome (6578756).

The spelling of 34641133114643 in words is "thirty-four trillion, six hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, six hundred forty-three".