256241677824 has 1600 divisors, whose sum is σ = 975370429440. Its totient is φ = 65930526720.

The previous prime is 256241677793. The next prime is 256241677837. The reversal of 256241677824 is 428776142652.

256241677824 is a `hidden beast` number, since 2 + 5 + 624 + 1 + 6 + 7 + 7 + 8 + 2 + 4 = 666.

256241677824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256241677824² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent 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 159 ways as a sum of consecutive naturals, for example, 5451950569 + ... + 5451950615.

Almost surely, 2^256241677824 is an apocalyptic number.

256241677824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256241677824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487685214720).

256241677824 is an abundant number, since it is smaller than the sum of its proper divisors (719128751616).

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

256241677824 is a wasteful number, since it uses less digits than its factorization.

256241677824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 136 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 256241677824 in words is "two hundred fifty-six billion, two hundred forty-one million, six hundred seventy-seven thousand, eight hundred twenty-four".