34414133224451 has 8 divisors (see below), whose sum is σ = 36749241264000. Its totient is φ = 32155586104320.

The previous prime is 34414133224417. The next prime is 34414133224481. The reversal of 34414133224451 is 15442233141443.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34414133224451 is a prime.

It is a super-3 number, since 3×34414133224451³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34414133224399 and 34414133224408.

It is not an unprimeable number, because it can be changed into a prime (34414133224481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19140228926 + ... + 19140230723.

It is an arithmetic number, because the mean of its divisors is an integer number (4593655158000).

Almost surely, 2^{34414133224451} is an apocalyptic number.

34414133224451 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34414133224451 is a deficient number, since it is larger than the sum of its proper divisors (2335108039549).

34414133224451 is a wasteful number, since it uses less digits than its factorization.

34414133224451 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38280459709.

The product of its digits is 552960, while the sum is 41.

Adding to 34414133224451 its reverse (15442233141443), we get a palindrome (49856366365894).

The spelling of 34414133224451 in words is "thirty-four trillion, four hundred fourteen billion, one hundred thirty-three million, two hundred twenty-four thousand, four hundred fifty-one".