34769101420089 has 81 divisors (see below), whose sum is σ = 53107643341389. Its totient is φ = 21918120744960.

The previous prime is 34769101420063. The next prime is 34769101420093. The reversal of 34769101420089 is 98002410196743.

The square root of 34769101420089 is 5896533.

It is a perfect power (a square), and thus also a powerful number.

34769101420089 is a `hidden beast` number, since 3 + 476 + 91 + 0 + 1 + 4 + 2 + 0 + 0 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5379778719225 + 29389322700864 = 2319435^2 + 5421192^2 .

It is not a de Polignac number, because 34769101420089 - 2⁵ = 34769101420057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34769101420589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39465494929 + ... + 39465495809.

Almost surely, 2^{34769101420089} is an apocalyptic number.

34769101420089 is the 5896533-rd square number.

34769101420089 is the 2948267-th centered octagonal number.

It is an amenable number.

34769101420089 is a deficient number, since it is larger than the sum of its proper divisors (18338541921300).

34769101420089 is an frugal number, since it uses more digits than its factorization.

34769101420089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 34769101420089 in words is "thirty-four trillion, seven hundred sixty-nine billion, one hundred one million, four hundred twenty thousand, eighty-nine".