10067821118289 has 45 divisors (see below), whose sum is σ = 15998380052395. Its totient is φ = 6101011712400.

The previous prime is 10067821118269. The next prime is 10067821118321. The reversal of 10067821118289 is 98281112876001.

The square root of 10067821118289 is 3172983.

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

10067821118289 is a `hidden beast` number, since 100 + 6 + 78 + 211 + 182 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1844117828289 + 8223703290000 = 1357983^2 + 2867700^2 .

It is not a de Polignac number, because 10067821118289 - 2¹⁵ = 10067821085521 is a prime.

It is a super-2 number, since 2×10067821118289² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10067821118269) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1151788459 + ... + 1151797199.

Almost surely, 2^{10067821118289} is an apocalyptic number.

10067821118289 is the 3172983-rd square number.

10067821118289 is the 1586492-nd centered octagonal number.

It is an amenable number.

10067821118289 is a deficient number, since it is larger than the sum of its proper divisors (5930558934106).

10067821118289 is an frugal number, since it uses more digits than its factorization.

10067821118289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17532 (or 8755 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 10067821118289 in words is "ten trillion, sixty-seven billion, eight hundred twenty-one million, one hundred eighteen thousand, two hundred eighty-nine".