654360468342048 has 144 divisors (see below), whose sum is σ = 2026495552568760. Its totient is φ = 199079416369152.

The previous prime is 654360468342043. The next prime is 654360468342067. The reversal of 654360468342048 is 840243864063456.

654360468342048 is a `hidden beast` number, since 6 + 5 + 4 + 360 + 4 + 68 + 3 + 4 + 204 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 150305344168464 + 504055124173584 = 12259908^2 + 22451172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (654360468342043) 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 23 ways as a sum of consecutive naturals, for example, 981553111 + ... + 982219542.

Almost surely, 2^{654360468342048} is an apocalyptic number.

It is an amenable number.

654360468342048 is an abundant number, since it is smaller than the sum of its proper divisors (1372135084226712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

654360468342048 is a wasteful number, since it uses less digits than its factorization.

654360468342048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963772771 (or 1963772760 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 63.

The spelling of 654360468342048 in words is "six hundred fifty-four trillion, three hundred sixty billion, four hundred sixty-eight million, three hundred forty-two thousand, forty-eight".