51822666144 has 144 divisors (see below), whose sum is σ = 149978916360. Its totient is φ = 16969236480.

The previous prime is 51822666127. The next prime is 51822666209. The reversal of 51822666144 is 44166622815.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10524297744 + 41298368400 = 102588^2 + 203220^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 51822666144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19270752 + ... + 19273440.

Almost surely, 2^51822666144 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 51822666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74989458180).

51822666144 is an abundant number, since it is smaller than the sum of its proper divisors (98156250216).

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

51822666144 is a wasteful number, since it uses less digits than its factorization.

51822666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3863 (or 3852 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 51822666144 in words is "fifty-one billion, eight hundred twenty-two million, six hundred sixty-six thousand, one hundred forty-four".