34137434477467 has 16 divisors (see below), whose sum is σ = 35999538569280. Its totient is φ = 32307271920000.

The previous prime is 34137434477449. The next prime is 34137434477501. The reversal of 34137434477467 is 76477443473143.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34137434477467 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34137434477399 and 34137434477408.

It is not an unprimeable number, because it can be changed into a prime (34137444477467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1822284 + ... + 8461417.

It is an arithmetic number, because the mean of its divisors is an integer number (2249971160580).

Almost surely, 2^{34137434477467} is an apocalyptic number.

34137434477467 is a deficient number, since it is larger than the sum of its proper divisors (1862104091813).

34137434477467 is a wasteful number, since it uses less digits than its factorization.

34137434477467 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10285254.

The product of its digits is 398297088, while the sum is 64.

The spelling of 34137434477467 in words is "thirty-four trillion, one hundred thirty-seven billion, four hundred thirty-four million, four hundred seventy-seven thousand, four hundred sixty-seven".