514304145152 has 72 divisors (see below), whose sum is σ = 1174209861216. Its totient is φ = 220236926976.

The previous prime is 514304145143. The next prime is 514304145191. The reversal of 514304145152 is 251541403415.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2100698 + ... + 2332710.

Almost surely, 2^514304145152 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 514304145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587104930608).

514304145152 is an abundant number, since it is smaller than the sum of its proper divisors (659905716064).

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

514304145152 is a wasteful number, since it uses less digits than its factorization.

514304145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233273 (or 233259 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 514304145152 its reverse (251541403415), we get a palindrome (765845548567).

The spelling of 514304145152 in words is "five hundred fourteen billion, three hundred four million, one hundred forty-five thousand, one hundred fifty-two".