514002220434234 has 96 divisors (see below), whose sum is σ = 1324206310242816. Its totient is φ = 146379412874160.

The previous prime is 514002220434217. The next prime is 514002220434277. The reversal of 514002220434234 is 432434022200415.

514002220434234 is a `hidden beast` number, since 5 + 1 + 4 + 0 + 0 + 2 + 220 + 4 + 3 + 423 + 4 = 666.

It is a super-2 number, since 2×514002220434234² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245027652 + ... + 247116479.

It is an arithmetic number, because the mean of its divisors is an integer number (13793815731696).

Almost surely, 2^{514002220434234} is an apocalyptic number.

514002220434234 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

514002220434234 is an abundant number, since it is smaller than the sum of its proper divisors (810204089808582).

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

514002220434234 is a wasteful number, since it uses less digits than its factorization.

514002220434234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492144462 (or 492144450 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 514002220434234 its reverse (432434022200415), we get a palindrome (946436242634649).

The spelling of 514002220434234 in words is "five hundred fourteen trillion, two billion, two hundred twenty million, four hundred thirty-four thousand, two hundred thirty-four".