514455010464 has 384 divisors, whose sum is σ = 1443092474880. Its totient is φ = 160285188096.

The previous prime is 514455010453. The next prime is 514455010471. The reversal of 514455010464 is 464010554415.

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, 2266321519 + ... + 2266321745.

It is an arithmetic number, because the mean of its divisors is an integer number (3758053320).

Almost surely, 2^514455010464 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 514455010464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721546237440).

514455010464 is an abundant number, since it is smaller than the sum of its proper divisors (928637464416).

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

514455010464 is a wasteful number, since it uses less digits than its factorization.

514455010464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 514455010464 its reverse (464010554415), we get a palindrome (978465564879).

The spelling of 514455010464 in words is "five hundred fourteen billion, four hundred fifty-five million, ten thousand, four hundred sixty-four".