514321459145856 has 224 divisors, whose sum is σ = 1626601147512300. Its totient is φ = 161355751391232.

The previous prime is 514321459145831. The next prime is 514321459145863. The reversal of 514321459145856 is 658541954123415.

514321459145856 is a `hidden beast` number, since 5 + 1 + 4 + 3 + 2 + 1 + 45 + 9 + 1 + 4 + 585 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 486828215585856 + 27493243560000 = 22064184^2 + 5243400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514321459145793 and 514321459145802.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 160526841 + ... + 163699448.

Almost surely, 2^{514321459145856} is an apocalyptic number.

It is an amenable number.

514321459145856 is an abundant number, since it is smaller than the sum of its proper divisors (1112279688366444).

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

514321459145856 is an equidigital number, since it uses as much as digits as its factorization.

514321459145856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324226338 (or 324226311 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 63.

The spelling of 514321459145856 in words is "five hundred fourteen trillion, three hundred twenty-one billion, four hundred fifty-nine million, one hundred forty-five thousand, eight hundred fifty-six".