34246688172489 has 27 divisors (see below), whose sum is σ = 53565689761077. Its totient is φ = 21074744579616.

The previous prime is 34246688172479. The next prime is 34246688172491. The reversal of 34246688172489 is 98427188664243.

The square root of 34246688172489 is 5852067.

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

34246688172489 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 6 + 68 + 81 + 7 + 2 + 489 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 303013918089 + 33943674254400 = 550467^2 + 5826120^2 .

It is not a de Polignac number, because 34246688172489 - 2¹⁷ = 34246688041417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34246688172409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228155587 + ... + 228305639.

Almost surely, 2^{34246688172489} is an apocalyptic number.

34246688172489 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

34246688172489 is the 5852067-th square number.

34246688172489 is the 2926034-th centered octagonal number.

It is an amenable number.

34246688172489 is a deficient number, since it is larger than the sum of its proper divisors (19319001588588).

34246688172489 is an frugal number, since it uses more digits than its factorization.

34246688172489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300138 (or 150069 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 34246688172489 in words is "thirty-four trillion, two hundred forty-six billion, six hundred eighty-eight million, one hundred seventy-two thousand, four hundred eighty-nine".