514414033442505 has 192 divisors, whose sum is σ = 1034695815229440. Its totient is φ = 231554065881600.

The previous prime is 514414033442467. The next prime is 514414033442513. The reversal of 514414033442505 is 505244330414415.

514414033442505 is a `hidden beast` number, since 5 + 1 + 44 + 14 + 0 + 3 + 344 + 250 + 5 = 666.

It is not a de Polignac number, because 514414033442505 - 2⁸ = 514414033442249 is a prime.

It is a super-3 number, since 3×514414033442505³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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 191 ways as a sum of consecutive naturals, for example, 99480568570 + ... + 99480573740.

It is an arithmetic number, because the mean of its divisors is an integer number (5389040704320).

Almost surely, 2^{514414033442505} is an apocalyptic number.

It is an amenable number.

514414033442505 is an abundant number, since it is smaller than the sum of its proper divisors (520281781786935).

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

514414033442505 is a wasteful number, since it uses less digits than its factorization.

514414033442505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 514414033442505 in words is "five hundred fourteen trillion, four hundred fourteen billion, thirty-three million, four hundred forty-two thousand, five hundred five".