668048711265 has 48 divisors (see below), whose sum is σ = 1247398960080. Its totient is φ = 328786698240.

The previous prime is 668048711233. The next prime is 668048711383. The reversal of 668048711265 is 562117840866.

668048711265 is a `hidden beast` number, since 66 + 80 + 487 + 1 + 1 + 26 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 137517113889 + 530531597376 = 370833^2 + 728376^2 .

It is not a de Polignac number, because 668048711265 - 2⁵ = 668048711233 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1796301 + ... + 2136069.

It is an arithmetic number, because the mean of its divisors is an integer number (25987478335).

Almost surely, 2^668048711265 is an apocalyptic number.

668048711265 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

668048711265 is a deficient number, since it is larger than the sum of its proper divisors (579350248815).

668048711265 is a wasteful number, since it uses less digits than its factorization.

668048711265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343154 (or 343151 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 668048711265 in words is "six hundred sixty-eight billion, forty-eight million, seven hundred eleven thousand, two hundred sixty-five".