514745120229120 has 4320 divisors, whose sum is σ = 2206435025995200. Its totient is φ = 114461127475200.

The previous prime is 514745120229107. The next prime is 514745120229121. The reversal of 514745120229120 is 21922021547415.

514745120229120 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 4 + 512 + 0 + 2 + 2 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514745120229121) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 4722432295626 + ... + 4722432295734.

It is an arithmetic number, because the mean of its divisors is an integer number (510748848610).

Almost surely, 2^{514745120229120} 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 514745120229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103217512997600).

514745120229120 is an abundant number, since it is smaller than the sum of its proper divisors (1691689905766080).

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

514745120229120 is an equidigital number, since it uses as much as digits as its factorization.

514745120229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 514745120229120 in words is "five hundred fourteen trillion, seven hundred forty-five billion, one hundred twenty million, two hundred twenty-nine thousand, one hundred twenty".