34622133122643 has 32 divisors (see below), whose sum is σ = 52820969978880. Its totient is φ = 19981616866560.

The previous prime is 34622133122539. The next prime is 34622133122659.

34622133122643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34622133122643 - 2²¹ = 34622131025491 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34622133122595 and 34622133122604.

It is not an unprimeable number, because it can be changed into a prime (34622133122683) 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, 301597458 + ... + 301712231.

It is an arithmetic number, because the mean of its divisors is an integer number (1650655311840).

Almost surely, 2^{34622133122643} is an apocalyptic number.

34622133122643 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34622133122643 is a deficient number, since it is larger than the sum of its proper divisors (18198836856237).

34622133122643 is a wasteful number, since it uses less digits than its factorization.

34622133122643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603309787.

The product of its digits is 746496, while the sum is 42.

It can be divided in two parts, 3462213 and 3122643, that added together give a palindrome (6584856).

The spelling of 34622133122643 in words is "thirty-four trillion, six hundred twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, six hundred forty-three".