256133161216 has 81 divisors (see below), whose sum is σ = 523152587181. Its totient is φ = 125155516416.

The previous prime is 256133161139. The next prime is 256133161307. The reversal of 256133161216 is 612161331652.

The square root of 256133161216 is 506096.

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., 83821830400 + 172311330816 = 289520^2 + 415104^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 380583856 + ... + 380584528.

Almost surely, 2^256133161216 is an apocalyptic number.

256133161216 is the 506096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256133161216

256133161216 is an abundant number, since it is smaller than the sum of its proper divisors (267019425965).

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

256133161216 is an frugal number, since it uses more digits than its factorization.

256133161216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456 (or 722 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

Adding to 256133161216 its reverse (612161331652), we get a palindrome (868294492868).

The spelling of 256133161216 in words is "two hundred fifty-six billion, one hundred thirty-three million, one hundred sixty-one thousand, two hundred sixteen".