256446232020 has 144 divisors (see below), whose sum is σ = 849511877760. Its totient is φ = 62102265600.

The previous prime is 256446232001. The next prime is 256446232073. The reversal of 256446232020 is 20232644652.

256446232020 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 4 + 623 + 2 + 0 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1794361 + ... + 1931999.

It is an arithmetic number, because the mean of its divisors is an integer number (5899388040).

Almost surely, 2^256446232020 is an apocalyptic number.

256446232020 is a gapful number since it is divisible by the number (20) 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 256446232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424755938880).

256446232020 is an abundant number, since it is smaller than the sum of its proper divisors (593065645740).

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

256446232020 is a wasteful number, since it uses less digits than its factorization.

256446232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138606 (or 138601 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 256446232020 its reverse (20232644652), we get a palindrome (276678876672).

The spelling of 256446232020 in words is "two hundred fifty-six billion, four hundred forty-six million, two hundred thirty-two thousand, twenty".