223137045256949 has 2 divisors, whose sum is σ = 223137045256950. Its totient is φ = 223137045256948.

The previous prime is 223137045256933. The next prime is 223137045256963. The reversal of 223137045256949 is 949652540731322.

223137045256949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 141632134864900 + 81504910392049 = 11900930^2 + 9028007^2 .

It is a cyclic number.

It is not a de Polignac number, because 223137045256949 - 2⁴ = 223137045256933 is a prime.

It is a super-3 number, since 3×223137045256949³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223137045256891 and 223137045256900.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223137045256919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111568522628474 + 111568522628475.

It is an arithmetic number, because the mean of its divisors is an integer number (111568522628475).

Almost surely, 2^{223137045256949} is an apocalyptic number.

It is an amenable number.

223137045256949 is a deficient number, since it is larger than the sum of its proper divisors (1).

223137045256949 is an equidigital number, since it uses as much as digits as its factorization.

223137045256949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 97977600, while the sum is 62.

The spelling of 223137045256949 in words is "two hundred twenty-three trillion, one hundred thirty-seven billion, forty-five million, two hundred fifty-six thousand, nine hundred forty-nine".