514016299368 has 576 divisors, whose sum is σ = 1747318547520. Its totient is φ = 134549913600.

The previous prime is 514016299331. The next prime is 514016299439. The reversal of 514016299368 is 863992610415.

514016299368 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 1 + 629 + 9 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 675448108 + ... + 675448868.

It is an arithmetic number, because the mean of its divisors is an integer number (3033539145).

Almost surely, 2^514016299368 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 514016299368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873659273760).

514016299368 is an abundant number, since it is smaller than the sum of its proper divisors (1233302248152).

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

514016299368 is a wasteful number, since it uses less digits than its factorization.

514016299368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 514016299368 in words is "five hundred fourteen billion, sixteen million, two hundred ninety-nine thousand, three hundred sixty-eight".