512314340300334 has 96 divisors (see below), whose sum is σ = 1372708280361600. Its totient is φ = 135762357372480.

The previous prime is 512314340300219. The next prime is 512314340300443. The reversal of 512314340300334 is 433003043413215.

512314340300334 is a `hidden beast` number, since 5 + 1 + 2 + 3 + 1 + 4 + 340 + 300 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5237696364 + ... + 5237794175.

It is an arithmetic number, because the mean of its divisors is an integer number (14299044587100).

Almost surely, 2^{512314340300334} is an apocalyptic number.

512314340300334 is an abundant number, since it is smaller than the sum of its proper divisors (860393940061266).

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

512314340300334 is a wasteful number, since it uses less digits than its factorization.

512314340300334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10475490590 (or 10475490587 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 512314340300334 its reverse (433003043413215), we get a palindrome (945317383713549).

The spelling of 512314340300334 in words is "five hundred twelve trillion, three hundred fourteen billion, three hundred forty million, three hundred thousand, three hundred thirty-four".