51204448656 has 135 divisors (see below), whose sum is σ = 145468924419. Its totient is φ = 16813806336.

The previous prime is 51204448609. The next prime is 51204448663. The reversal of 51204448656 is 65684440215.

It is a happy number.

The square root of 51204448656 is 226284.

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

51204448656 is a `hidden beast` number, since 5 + 120 + 44 + 486 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20374707600 + 30829741056 = 142740^2 + 175584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 295979386 + ... + 295979558.

Almost surely, 2^51204448656 is an apocalyptic number.

51204448656 is the 226284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51204448656

51204448656 is an abundant number, since it is smaller than the sum of its proper divisors (94264475763).

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

51204448656 is a wasteful number, since it uses less digits than its factorization.

51204448656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 51204448656 in words is "fifty-one billion, two hundred four million, four hundred forty-eight thousand, six hundred fifty-six".