654674476456 has 256 divisors, whose sum is σ = 1724754124800. Its totient is φ = 224560512000.

The previous prime is 654674476441. The next prime is 654674476459.

It is a happy number.

654674476456 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (654674476459) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66117106 + ... + 66127006.

It is an arithmetic number, because the mean of its divisors is an integer number (6737320800).

Almost surely, 2^654674476456 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 654674476456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862377062400).

654674476456 is an abundant number, since it is smaller than the sum of its proper divisors (1070079648344).

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

654674476456 is a wasteful number, since it uses less digits than its factorization.

654674476456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10320 (or 10316 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 64.

The spelling of 654674476456 in words is "six hundred fifty-four billion, six hundred seventy-four million, four hundred seventy-six thousand, four hundred fifty-six".