514681122816 has 936 divisors, whose sum is σ = 1833386811984. Its totient is φ = 143804989440.

The previous prime is 514681122803. The next prime is 514681122827. The reversal of 514681122816 is 618221186415.

514681122816 is a `hidden beast` number, since 51 + 468 + 1 + 122 + 8 + 16 = 666.

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 71 ways as a sum of consecutive naturals, for example, 2975035306 + ... + 2975035478.

It is an arithmetic number, because the mean of its divisors is an integer number (1958746594).

Almost surely, 2^514681122816 is an apocalyptic number.

514681122816 is a gapful number since it is divisible by the number (56) 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 514681122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916693405992).

514681122816 is an abundant number, since it is smaller than the sum of its proper divisors (1318705689168).

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

514681122816 is an equidigital number, since it uses as much as digits as its factorization.

514681122816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 246 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 514681122816 in words is "five hundred fourteen billion, six hundred eighty-one million, one hundred twenty-two thousand, eight hundred sixteen".