514085723460 has 192 divisors, whose sum is σ = 1686523238400. Its totient is φ = 129645360000.

The previous prime is 514085723447. The next prime is 514085723521. The reversal of 514085723460 is 64327580415.

514085723460 is a `hidden beast` number, since 5 + 1 + 40 + 8 + 572 + 34 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5814585 + ... + 5902335.

It is an arithmetic number, because the mean of its divisors is an integer number (8783975200).

Almost surely, 2^514085723460 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 514085723460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843261619200).

514085723460 is an abundant number, since it is smaller than the sum of its proper divisors (1172437514940).

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

514085723460 is a wasteful number, since it uses less digits than its factorization.

514085723460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88359 (or 88351 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 514085723460 in words is "five hundred fourteen billion, eighty-five million, seven hundred twenty-three thousand, four hundred sixty".