34335011053343 has 32 divisors (see below), whose sum is σ = 46279533081600. Its totient is φ = 24600415887360.

The previous prime is 34335011053319. The next prime is 34335011053391.

34335011053343 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34335011053343 - 2²⁸ = 34334742617887 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34335011053297 and 34335011053306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34335011050343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66475643 + ... + 66990156.

It is an arithmetic number, because the mean of its divisors is an integer number (1446235408800).

Almost surely, 2^{34335011053343} is an apocalyptic number.

34335011053343 is a deficient number, since it is larger than the sum of its proper divisors (11944522028257).

34335011053343 is a wasteful number, since it uses less digits than its factorization.

34335011053343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133466087.

The product of its (nonzero) digits is 291600, while the sum is 38.

It can be divided in two parts, 3433501 and 1053343, that added together give a palindrome (4486844).

The spelling of 34335011053343 in words is "thirty-four trillion, three hundred thirty-five billion, eleven million, fifty-three thousand, three hundred forty-three".