51684066944 has 64 divisors (see below), whose sum is σ = 109232728200. Its totient is φ = 24274698240.

The previous prime is 51684066881. The next prime is 51684066947. The reversal of 51684066944 is 44966048615.

It can be written as a sum of positive squares in 4 ways, for example, as 39645588544 + 12038478400 = 199112^2 + 109720^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (51684066947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110902 + ... + 1156490.

Almost surely, 2^51684066944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51684066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54616364100).

51684066944 is an abundant number, since it is smaller than the sum of its proper divisors (57548661256).

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

51684066944 is a wasteful number, since it uses less digits than its factorization.

51684066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46141 (or 46129 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 53.

The spelling of 51684066944 in words is "fifty-one billion, six hundred eighty-four million, sixty-six thousand, nine hundred forty-four".