514696489632 has 576 divisors, whose sum is σ = 1804458539520. Its totient is φ = 137379151872.

The previous prime is 514696489607. The next prime is 514696489633. The reversal of 514696489632 is 236984696415.

514696489632 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 96 + 489 + 63 + 2 = 666.

514696489632 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 514696489632.

It is not an unprimeable number, because it can be changed into a prime (514696489633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44738793 + ... + 44750295.

It is an arithmetic number, because the mean of its divisors is an integer number (3132740520).

Almost surely, 2^514696489632 is an apocalyptic number.

514696489632 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514696489632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902229269760).

514696489632 is an abundant number, since it is smaller than the sum of its proper divisors (1289762049888).

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

514696489632 is a wasteful number, since it uses less digits than its factorization.

514696489632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11605 (or 11594 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 514696489632 in words is "five hundred fourteen billion, six hundred ninety-six million, four hundred eighty-nine thousand, six hundred thirty-two".