668733053121 has 45 divisors (see below), whose sum is σ = 1127074584129. Its totient is φ = 382064481288.

The previous prime is 668733053099. The next prime is 668733053143. The reversal of 668733053121 is 121350337866.

The square root of 668733053121 is 817761.

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

668733053121 is a `hidden beast` number, since 6 + 6 + 87 + 3 + 30 + 531 + 2 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (668733053099) and next prime (668733053143).

It is not a de Polignac number, because 668733053121 - 2⁷ = 668733052993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (668733053921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 120208086 + ... + 120213648.

Almost surely, 2^668733053121 is an apocalyptic number.

668733053121 is the 817761-st square number.

668733053121 is the 408881-st centered octagonal number.

It is an amenable number.

668733053121 is a deficient number, since it is larger than the sum of its proper divisors (458341531008).

668733053121 is an frugal number, since it uses more digits than its factorization.

668733053121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11160 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 668733053121 in words is "six hundred sixty-eight billion, seven hundred thirty-three million, fifty-three thousand, one hundred twenty-one".