514278064512 has 192 divisors, whose sum is σ = 1498996802160. Its totient is φ = 169226403840.

The previous prime is 514278064499. The next prime is 514278064537. The reversal of 514278064512 is 215460872415.

514278064512 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 78 + 0 + 64 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29117188 + ... + 29134844.

Almost surely, 2^514278064512 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 514278064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749498401080).

514278064512 is an abundant number, since it is smaller than the sum of its proper divisors (984718737648).

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

514278064512 is a wasteful number, since it uses less digits than its factorization.

514278064512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18001 (or 17986 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 514278064512 in words is "five hundred fourteen billion, two hundred seventy-eight million, sixty-four thousand, five hundred twelve".