51745694128704 has 567 divisors, whose sum is σ = 163860122340187. Its totient is φ = 16209082699776.

The previous prime is 51745694128697. The next prime is 51745694128717. The reversal of 51745694128704 is 40782149654715.

It is a happy number.

The square root of 51745694128704 is 7193448.

It is a perfect power (a square), and thus also a powerful number.

51745694128704 is a `hidden beast` number, since 5 + 1 + 7 + 4 + 569 + 41 + 28 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9322288704 + 51736371840000 = 96552^2 + 7192800^2 .

It is a super-2 number, since 2×51745694128704² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 79243022842 + ... + 79243023494.

Almost surely, 2^{51745694128704} is an apocalyptic number.

51745694128704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

51745694128704 is the 7193448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51745694128704

51745694128704 is an abundant number, since it is smaller than the sum of its proper divisors (112114428211483).

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

51745694128704 is an frugal number, since it uses more digits than its factorization.

51745694128704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 51745694128704 in words is "fifty-one trillion, seven hundred forty-five billion, six hundred ninety-four million, one hundred twenty-eight thousand, seven hundred four".