514534450535424 has 2112 divisors, whose sum is σ = 1808412165880320. Its totient is φ = 144473849856000.

The previous prime is 514534450535423. The next prime is 514534450535471. The reversal of 514534450535424 is 424535054435415.

514534450535424 is a `hidden beast` number, since 5 + 1 + 4 + 5 + 3 + 4 + 45 + 0 + 53 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514534450535423) 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 191 ways as a sum of consecutive naturals, for example, 764538559152 + ... + 764538559824.

It is an arithmetic number, because the mean of its divisors is an integer number (856255760360).

Almost surely, 2^{514534450535424} is an apocalyptic number.

514534450535424 is a gapful number since it is divisible by the number (54) 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 514534450535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904206082940160).

514534450535424 is an abundant number, since it is smaller than the sum of its proper divisors (1293877715344896).

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

514534450535424 is a wasteful number, since it uses less digits than its factorization.

514534450535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 57600000, while the sum is 54.

The spelling of 514534450535424 in words is "five hundred fourteen trillion, five hundred thirty-four billion, four hundred fifty million, five hundred thirty-five thousand, four hundred twenty-four".