654684486456 has 256 divisors, whose sum is σ = 2207414845440. Its totient is φ = 156262141440.

The previous prime is 654684486437. The next prime is 654684486481.

It is a happy number.

654684486456 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×654684486456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5296251 + ... + 5418453.

It is an arithmetic number, because the mean of its divisors is an integer number (8622714240).

Almost surely, 2^654684486456 is an apocalyptic number.

654684486456 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 654684486456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103707422720).

654684486456 is an abundant number, since it is smaller than the sum of its proper divisors (1552730358984).

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

654684486456 is a wasteful number, since it uses less digits than its factorization.

654684486456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122466 (or 122462 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 654684486456 in words is "six hundred fifty-four billion, six hundred eighty-four million, four hundred eighty-six thousand, four hundred fifty-six".