34224633642243 has 32 divisors (see below), whose sum is σ = 52889716028160. Its totient is φ = 19485684812160.

The previous prime is 34224633642239. The next prime is 34224633642293.

It is a happy number.

34224633642243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34224633642243 - 2² = 34224633642239 is a prime.

It is a super-2 number, since 2×34224633642243² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34224633642192 and 34224633642201.

It is not an unprimeable number, because it can be changed into a prime (34224633642293) 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, 483240505 + ... + 483311322.

It is an arithmetic number, because the mean of its divisors is an integer number (1652803625880).

Almost surely, 2^{34224633642243} is an apocalyptic number.

34224633642243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34224633642243 is a deficient number, since it is larger than the sum of its proper divisors (18665082385917).

34224633642243 is a wasteful number, since it uses less digits than its factorization.

34224633642243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966551907.

The product of its digits is 11943936, while the sum is 48.

The spelling of 34224633642243 in words is "thirty-four trillion, two hundred twenty-four billion, six hundred thirty-three million, six hundred forty-two thousand, two hundred forty-three".