34224155142243 has 64 divisors (see below), whose sum is σ = 51828082606080. Its totient is φ = 19898380611200.

The previous prime is 34224155142241. The next prime is 34224155142269.

34224155142243 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34224155142243 - 2¹ = 34224155142241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34224155142195 and 34224155142204.

It is not an unprimeable number, because it can be changed into a prime (34224155142241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96220138 + ... + 96575168.

It is an arithmetic number, because the mean of its divisors is an integer number (809813790720).

Almost surely, 2^{34224155142243} is an apocalyptic number.

34224155142243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34224155142243 is a deficient number, since it is larger than the sum of its proper divisors (17603927463837).

34224155142243 is a wasteful number, since it uses less digits than its factorization.

34224155142243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355720.

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 3422415 and 5142243, that added together give a palindrome (8564658).

The spelling of 34224155142243 in words is "thirty-four trillion, two hundred twenty-four billion, one hundred fifty-five million, one hundred forty-two thousand, two hundred forty-three".