514510386416 has 160 divisors (see below), whose sum is σ = 1158495851520. Its totient is φ = 219228106752.

The previous prime is 514510386413. The next prime is 514510386461. The reversal of 514510386416 is 614683015415.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514510386413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104935421 + ... + 104940323.

It is an arithmetic number, because the mean of its divisors is an integer number (7240599072).

Almost surely, 2^514510386416 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 514510386416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579247925760).

514510386416 is an abundant number, since it is smaller than the sum of its proper divisors (643985465104).

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

514510386416 is a wasteful number, since it uses less digits than its factorization.

514510386416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5503 (or 5497 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 44.

The spelling of 514510386416 in words is "five hundred fourteen billion, five hundred ten million, three hundred eighty-six thousand, four hundred sixteen".