51145218688 has 32 divisors (see below), whose sum is σ = 103561223220. Its totient is φ = 25153382400.

The previous prime is 51145218679. The next prime is 51145218697. The reversal of 51145218688 is 88681254115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51145218679) and next prime (51145218697).

It can be written as a sum of positive squares in 2 ways, for example, as 50971189824 + 174028864 = 225768^2 + 13192^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 3267373 + ... + 3282988.

Almost surely, 2^51145218688 is an apocalyptic number.

It is an amenable number.

51145218688 is an abundant number, since it is smaller than the sum of its proper divisors (52416004532).

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

51145218688 is an equidigital number, since it uses as much as digits as its factorization.

51145218688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6550436 (or 6550424 counting only the distinct ones).

The product of its digits is 614400, while the sum is 49.

The spelling of 51145218688 in words is "fifty-one billion, one hundred forty-five million, two hundred eighteen thousand, six hundred eighty-eight".