256112146224 has 120 divisors (see below), whose sum is σ = 789660400464. Its totient is φ = 76841280000.

The previous prime is 256112146223. The next prime is 256112146267. The reversal of 256112146224 is 422641211652.

256112146224 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 1 + 21 + 4 + 622 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (256112146223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640447 + ... + 960414.

Almost surely, 2^256112146224 is an apocalyptic number.

256112146224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256112146224 is an abundant number, since it is smaller than the sum of its proper divisors (533548254240).

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

256112146224 is a wasteful number, since it uses less digits than its factorization.

256112146224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600987 (or 1600978 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

Adding to 256112146224 its reverse (422641211652), we get a palindrome (678753357876).

The spelling of 256112146224 in words is "two hundred fifty-six billion, one hundred twelve million, one hundred forty-six thousand, two hundred twenty-four".