51534448144 has 135 divisors (see below), whose sum is σ = 110208712653. Its totient is φ = 23340465792.

The previous prime is 51534448139. The next prime is 51534448171. The reversal of 51534448144 is 44184443515.

The square root of 51534448144 is 227012.

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

It can be written as a sum of positive squares in only one way, i.e., 27023414544 + 24511033600 = 164388^2 + 156560^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 51534448144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 500334397 + ... + 500334499.

Almost surely, 2^51534448144 is an apocalyptic number.

51534448144 is the 227012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51534448144

51534448144 is an abundant number, since it is smaller than the sum of its proper divisors (58674264509).

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

51534448144 is a wasteful number, since it uses less digits than its factorization.

51534448144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 153 counting only the distinct ones).

The product of its digits is 614400, while the sum is 43.

The spelling of 51534448144 in words is "fifty-one billion, five hundred thirty-four million, four hundred forty-eight thousand, one hundred forty-four".