654158112768 has 144 divisors (see below), whose sum is σ = 1920304631700. Its totient is φ = 214477701120.

The previous prime is 654158112767. The next prime is 654158112799. The reversal of 654158112768 is 867211851456.

654158112768 is a `hidden beast` number, since 6 + 5 + 41 + 581 + 12 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 590266450944 + 63891661824 = 768288^2 + 252768^2 .

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 (654158112767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 833448 + ... + 1415256.

Almost surely, 2^654158112768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654158112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960152315850).

654158112768 is an abundant number, since it is smaller than the sum of its proper divisors (1266146518932).

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

654158112768 is a wasteful number, since it uses less digits than its factorization.

654158112768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581898 (or 581875 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 654158112768 in words is "six hundred fifty-four billion, one hundred fifty-eight million, one hundred twelve thousand, seven hundred sixty-eight".