654344282443456 has 168 divisors, whose sum is σ = 1429092765052848. Its totient is φ = 297042865152000.

The previous prime is 654344282443433. The next prime is 654344282443487.

654344282443456 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24219710460 + ... + 24219737476.

It is an arithmetic number, because the mean of its divisors is an integer number (8506504553886).

Almost surely, 2^{654344282443456} 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 654344282443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714546382526424).

654344282443456 is an abundant number, since it is smaller than the sum of its proper divisors (774748482609392).

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

654344282443456 is a wasteful number, since it uses less digits than its factorization.

654344282443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30999 (or 30978 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 64.

The spelling of 654344282443456 in words is "six hundred fifty-four trillion, three hundred forty-four billion, two hundred eighty-two million, four hundred forty-three thousand, four hundred fifty-six".