261446144256 has 540 divisors, whose sum is σ = 868404028800. Its totient is φ = 78163937280.

The previous prime is 261446144251. The next prime is 261446144257. The reversal of 261446144256 is 652441644162.

261446144256 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 4 + 614 + 4 + 25 + 6 = 666.

261446144256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (261446144251) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 198214765 + ... + 198216083.

Almost surely, 2^261446144256 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 261446144256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434202014400).

261446144256 is an abundant number, since it is smaller than the sum of its proper divisors (606957884544).

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

261446144256 is a wasteful number, since it uses less digits than its factorization.

261446144256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1414 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The spelling of 261446144256 in words is "two hundred sixty-one billion, four hundred forty-six million, one hundred forty-four thousand, two hundred fifty-six".