67048369969 has 27 divisors (see below), whose sum is σ = 79261168683. Its totient is φ = 56551840800.

The previous prime is 67048369957. The next prime is 67048370087. The reversal of 67048369969 is 96996384076.

The square root of 67048369969 is 258937.

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

It can be written as a sum of positive squares in only one way, i.e., 19227427569 + 47820942400 = 138663^2 + 218680^2 .

It is not a de Polignac number, because 67048369969 - 2¹⁷ = 67048238897 is a prime.

It is a super-2 number, since 2×67048369969² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67048369909) 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, 128691429 + ... + 128691949.

Almost surely, 2^67048369969 is an apocalyptic number.

67048369969 is the 258937-th square number.

67048369969 is the 129469-th centered octagonal number.

It is an amenable number.

67048369969 is a deficient number, since it is larger than the sum of its proper divisors (12212798714).

67048369969 is an frugal number, since it uses more digits than its factorization.

67048369969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 67.

The spelling of 67048369969 in words is "sixty-seven billion, forty-eight million, three hundred sixty-nine thousand, nine hundred sixty-nine".