514509066144 has 72 divisors (see below), whose sum is σ = 1513588117860. Its totient is φ = 165589122048.

The previous prime is 514509066101. The next prime is 514509066163. The reversal of 514509066144 is 441660905415.

514509066144 is a `hidden beast` number, since 51 + 450 + 9 + 0 + 6 + 6 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 492719763600 + 21789302544 = 701940^2 + 147612^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 514509066144.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30793197 + ... + 30809900.

Almost surely, 2^514509066144 is an apocalyptic number.

It is an amenable number.

514509066144 is an abundant number, since it is smaller than the sum of its proper divisors (999079051716).

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

514509066144 is a wasteful number, since it uses less digits than its factorization.

514509066144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61603142 (or 61603131 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 514509066144 in words is "five hundred fourteen billion, five hundred nine million, sixty-six thousand, one hundred forty-four".