256992219136 has 65 divisors (see below), whose sum is σ = 519761715211. Its totient is φ = 127052333056.

The previous prime is 256992219131. The next prime is 256992219173. The reversal of 256992219136 is 631912299652.

The square root of 256992219136 is 506944.

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

It can be written as a sum of positive squares in 2 ways, for example, as 97503809536 + 159488409600 = 312256^2 + 399360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256992219131) by changing a digit.

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 4 ways as a sum of consecutive naturals, for example, 2887552980 + ... + 2887553068.

Almost surely, 2^256992219136 is an apocalyptic number.

256992219136 is the 506944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256992219136

256992219136 is an abundant number, since it is smaller than the sum of its proper divisors (262769496075).

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

256992219136 is an frugal number, since it uses more digits than its factorization.

256992219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 91 counting only the distinct ones).

The product of its digits is 3149280, while the sum is 55.

The spelling of 256992219136 in words is "two hundred fifty-six billion, nine hundred ninety-two million, two hundred nineteen thousand, one hundred thirty-six".