654654456456 has 512 divisors, whose sum is σ = 2271690731520. Its totient is φ = 151712870400.

The previous prime is 654654456439. The next prime is 654654456457.

654654456456 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 654654456456.

It is not an unprimeable number, because it can be changed into a prime (654654456457) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 139553071 + ... + 139557761.

It is an arithmetic number, because the mean of its divisors is an integer number (4436895960).

Almost surely, 2^654654456456 is an apocalyptic number.

654654456456 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654654456456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135845365760).

654654456456 is an abundant number, since it is smaller than the sum of its proper divisors (1617036275064).

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

654654456456 is a wasteful number, since it uses less digits than its factorization.

654654456456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4925 (or 4921 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 60.

The spelling of 654654456456 in words is "six hundred fifty-four billion, six hundred fifty-four million, four hundred fifty-six thousand, four hundred fifty-six".