514477479516 has 576 divisors, whose sum is σ = 1728666261504. Its totient is φ = 115479429120.

The previous prime is 514477479473. The next prime is 514477479557. The reversal of 514477479516 is 615974774415.

It is a self number, because there is not a number n which added to its sum of digits gives 514477479516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 523374361 + ... + 523375343.

It is an arithmetic number, because the mean of its divisors is an integer number (3001156704).

Almost surely, 2^514477479516 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 514477479516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864333130752).

514477479516 is an abundant number, since it is smaller than the sum of its proper divisors (1214188781988).

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

514477479516 is a wasteful number, since it uses less digits than its factorization.

514477479516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1269 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 60.

The spelling of 514477479516 in words is "five hundred fourteen billion, four hundred seventy-seven million, four hundred seventy-nine thousand, five hundred sixteen".