511643454094368 has 1458 divisors, whose sum is σ = 1658205062262567. Its totient is φ = 149615718174720.

The previous prime is 511643454094343. The next prime is 511643454094373. The reversal of 511643454094368 is 863490454346115.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

511643454094368 is a `hidden beast` number, since 5 + 1 + 1 + 6 + 43 + 4 + 540 + 9 + 43 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 22619537²-1.

It can be written as a sum of positive squares in 5 ways, for example, as 30270551489424 + 481372902604944 = 5501868^2 + 21940212^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=15994428.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 8671922950723 + ... + 8671922950781.

Almost surely, 2^{511643454094368} is an apocalyptic number.

511643454094368 is a gapful number since it is divisible by the number (58) 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 511643454094368

511643454094368 is an abundant number, since it is smaller than the sum of its proper divisors (1146561608168199).

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

511643454094368 is a wasteful number, since it uses less digits than its factorization.

511643454094368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 511643454094368 in words is "five hundred eleven trillion, six hundred forty-three billion, four hundred fifty-four million, ninety-four thousand, three hundred sixty-eight".