6977221122249 has 189 divisors, whose sum is σ = 12573485544711. Its totient is φ = 3727604361600.

The previous prime is 6977221122199. The next prime is 6977221122259. The reversal of 6977221122249 is 9422211227796.

The square root of 6977221122249 is 2641443.

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., 5432092569225 + 1545128553024 = 2330685^2 + 1243032^2 .

It is not a de Polignac number, because 6977221122249 - 2¹¹ = 6977221120201 is a prime.

It is a super-2 number, since 2×6977221122249² (a number of 26 digits) contains 22 as substring.

Its product of digits (3048192) is a multiple of the sum of its prime factors (384).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6977221122195 and 6977221122204.

It is not an unprimeable number, because it can be changed into a prime (6977221122259) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 46206762324 + ... + 46206762474.

Almost surely, 2^{6977221122249} is an apocalyptic number.

6977221122249 is the 2641443-rd square number.

6977221122249 is the 1320722-nd centered octagonal number.

It is an amenable number.

6977221122249 is a deficient number, since it is larger than the sum of its proper divisors (5596264422462).

6977221122249 is an frugal number, since it uses more digits than its factorization.

6977221122249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 178 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 6977221122249 in words is "six trillion, nine hundred seventy-seven billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred forty-nine".