654645585546456 has 384 divisors, whose sum is σ = 1974974334552000. Its totient is φ = 180153140428800.

The previous prime is 654645585546443. The next prime is 654645585546457.

654645585546456 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (654645585546457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37517647620 + ... + 37517665068.

Almost surely, 2^{654645585546456} 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 654645585546456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987487167276000).

654645585546456 is an abundant number, since it is smaller than the sum of its proper divisors (1320328749005544).

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

654645585546456 is a wasteful number, since it uses less digits than its factorization.

654645585546456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26147 (or 26136 counting only the distinct ones).

The product of its digits is 41472000000, while the sum is 78.

The spelling of 654645585546456 in words is "six hundred fifty-four trillion, six hundred forty-five billion, five hundred eighty-five million, five hundred forty-six thousand, four hundred fifty-six".