512047096344 has 1024 divisors, whose sum is σ = 1906882560000. Its totient is φ = 123780980736.

The previous prime is 512047096333. The next prime is 512047096367. The reversal of 512047096344 is 443690740215.

512047096344 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 4 + 7 + 0 + 9 + 634 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 512047096344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 777005887 + ... + 777006545.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190000).

Almost surely, 2^512047096344 is an apocalyptic number.

512047096344 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 512047096344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953441280000).

512047096344 is an abundant number, since it is smaller than the sum of its proper divisors (1394835463656).

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

512047096344 is a wasteful number, since it uses less digits than its factorization.

512047096344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 512047096344 in words is "five hundred twelve billion, forty-seven million, ninety-six thousand, three hundred forty-four".