667367121007233 has 24 divisors (see below), whose sum is σ = 997720669993320. Its totient is φ = 429351916680960.

The previous prime is 667367121007129. The next prime is 667367121007253. The reversal of 667367121007233 is 332700121763766.

667367121007233 is a `hidden beast` number, since 6 + 67 + 367 + 1 + 210 + 0 + 7 + 2 + 3 + 3 = 666.

667367121007233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73173259814769 + 594193861192464 = 8554137^2 + 24376092^2 .

It is not a de Polignac number, because 667367121007233 - 2⁹ = 667367121006721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 667367121007233.

It is not an unprimeable number, because it can be changed into a prime (667367121007253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 647473428 + ... + 648503333.

It is an arithmetic number, because the mean of its divisors is an integer number (41571694583055).

Almost surely, 2^{667367121007233} is an apocalyptic number.

It is an amenable number.

667367121007233 is a deficient number, since it is larger than the sum of its proper divisors (330353548986087).

667367121007233 is a wasteful number, since it uses less digits than its factorization.

667367121007233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295978769 (or 1295978766 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 667367121007233 in words is "six hundred sixty-seven trillion, three hundred sixty-seven billion, one hundred twenty-one million, seven thousand, two hundred thirty-three".