34461155116443 has 32 divisors (see below), whose sum is σ = 50204580284160. Its totient is φ = 20852527933440.

The previous prime is 34461155116411. The next prime is 34461155116471.

It is a happy number.

34461155116443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34461155116443 - 2⁵ = 34461155116411 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34461155116392 and 34461155116401.

It is not an unprimeable number, because it can be changed into a prime (34461155116243) 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, 252425880 + ... + 252562362.

It is an arithmetic number, because the mean of its divisors is an integer number (1568893133880).

Almost surely, 2^{34461155116443} is an apocalyptic number.

34461155116443 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34461155116443 is a deficient number, since it is larger than the sum of its proper divisors (15743425167717).

34461155116443 is a wasteful number, since it uses less digits than its factorization.

34461155116443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148539.

The product of its digits is 2073600, while the sum is 48.

The spelling of 34461155116443 in words is "thirty-four trillion, four hundred sixty-one billion, one hundred fifty-five million, one hundred sixteen thousand, four hundred forty-three".