4759391649609 has 9 divisors (see below), whose sum is σ = 6874686280839. Its totient is φ = 3172923403200.

The previous prime is 4759391649599. The next prime is 4759391649737. The reversal of 4759391649609 is 9069461939574.

The square root of 4759391649609 is 2181603.

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

4759391649609 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 3 + 9 + 1 + 6 + 4 + 9 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4593319099209 + 166072550400 = 2143203^2 + 407520^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 4759391649609 - 2¹⁷ = 4759391518537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4759391659609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6181209 + ... + 6908409.

Almost surely, 2^{4759391649609} is an apocalyptic number.

4759391649609 is the 2181603-rd square number.

4759391649609 is the 1090802-nd centered octagonal number.

It is an amenable number.

4759391649609 is a deficient number, since it is larger than the sum of its proper divisors (2115294631230).

4759391649609 is an frugal number, since it uses more digits than its factorization.

4759391649609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454408 (or 727204 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 4759391649609 in words is "four trillion, seven hundred fifty-nine billion, three hundred ninety-one million, six hundred forty-nine thousand, six hundred nine".