654312738816 has 351 divisors, whose sum is σ = 2082882976447. Its totient is φ = 197758894080.

The previous prime is 654312738809. The next prime is 654312738847. The reversal of 654312738816 is 618837213456.

The square root of 654312738816 is 808896.

It is a perfect power (a square), and thus also a powerful number.

654312738816 is a `hidden beast` number, since 6 + 543 + 1 + 2 + 7 + 3 + 88 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1708388161 + ... + 1708388543.

Almost surely, 2^654312738816 is an apocalyptic number.

654312738816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

654312738816 is the 808896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 654312738816

654312738816 is an abundant number, since it is smaller than the sum of its proper divisors (1428570237631).

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

654312738816 is an equidigital number, since it uses as much as digits as its factorization.

654312738816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 399 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 654312738816 in words is "six hundred fifty-four billion, three hundred twelve million, seven hundred thirty-eight thousand, eight hundred sixteen".