10673243262049 has 9 divisors (see below), whose sum is σ = 11264624190417. Its totient is φ = 10111434810804.

The previous prime is 10673243262047. The next prime is 10673243262061. The reversal of 10673243262049 is 94026234237601.

The square root of 10673243262049 is 3266993.

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

It is not a de Polignac number, because 10673243262049 - 2¹ = 10673243262047 is a prime.

It is a super-2 number, since 2×10673243262049² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10673243261993 and 10673243262011.

It is not an unprimeable number, because it can be changed into a prime (10673243262043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 61986894 + ... + 62158840.

Almost surely, 2^{10673243262049} is an apocalyptic number.

10673243262049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10673243262049 is the 3266993-rd square number.

10673243262049 is the 1633497-th centered octagonal number.

It is an amenable number.

10673243262049 is a deficient number, since it is larger than the sum of its proper divisors (591380928368).

10673243262049 is an frugal number, since it uses more digits than its factorization.

10673243262049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343932 (or 171966 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 49.

Multiplying 10673243262049 by its sum of digits (49), we get a square (522988919840401 = 22868951²).

The spelling of 10673243262049 in words is "ten trillion, six hundred seventy-three billion, two hundred forty-three million, two hundred sixty-two thousand, forty-nine".