654541145456 has 80 divisors (see below), whose sum is σ = 1453999438080. Its totient is φ = 282535503360.

The previous prime is 654541145443. The next prime is 654541145521.

654541145456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654541145456² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18965 + ... + 1144308.

It is an arithmetic number, because the mean of its divisors is an integer number (18174992976).

Almost surely, 2^654541145456 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 654541145456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726999719040).

654541145456 is an abundant number, since it is smaller than the sum of its proper divisors (799458292624).

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

654541145456 is a wasteful number, since it uses less digits than its factorization.

654541145456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163454 (or 1163448 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 50.

It can be divided in two parts, 654541 and 145456, that added together give a palindrome (799997).

The spelling of 654541145456 in words is "six hundred fifty-four billion, five hundred forty-one million, one hundred forty-five thousand, four hundred fifty-six".