34133171616449 has 64 divisors (see below), whose sum is σ = 38093821516800. Its totient is φ = 30445184286720.

The previous prime is 34133171616419. The next prime is 34133171616451. The reversal of 34133171616449 is 94461617133143.

It is a cyclic number.

It is not a de Polignac number, because 34133171616449 - 2¹⁶ = 34133171550913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34133171616449.

It is not an unprimeable number, because it can be changed into a prime (34133171616419) 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, 9845158814 + ... + 9845162280.

It is an arithmetic number, because the mean of its divisors is an integer number (595215961200).

Almost surely, 2^{34133171616449} is an apocalyptic number.

It is an amenable number.

34133171616449 is a deficient number, since it is larger than the sum of its proper divisors (3960649900351).

34133171616449 is a wasteful number, since it uses less digits than its factorization.

34133171616449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5738.

The product of its digits is 3919104, while the sum is 53.

The spelling of 34133171616449 in words is "thirty-four trillion, one hundred thirty-three billion, one hundred seventy-one million, six hundred sixteen thousand, four hundred forty-nine".