54346122164345 has 8 divisors (see below), whose sum is σ = 71144014469760. Its totient is φ = 39524452483120.

The previous prime is 54346122164339. The next prime is 54346122164417.

54346122164345 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 54346122164345 - 2⁴ = 54346122164329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54346122164293 and 54346122164302.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494055655985 + ... + 494055656094.

It is an arithmetic number, because the mean of its divisors is an integer number (8893001808720).

Almost surely, 2^{54346122164345} is an apocalyptic number.

54346122164345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54346122164345 is a deficient number, since it is larger than the sum of its proper divisors (16797892305415).

54346122164345 is a wasteful number, since it uses less digits than its factorization.

54346122164345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988111312095.

The product of its digits is 8294400, while the sum is 50.

It can be divided in two parts, 5434612 and 2164345, that added together give a palindrome (7598957).

The spelling of 54346122164345 in words is "fifty-four trillion, three hundred forty-six billion, one hundred twenty-two million, one hundred sixty-four thousand, three hundred forty-five".