256432018536 has 128 divisors (see below), whose sum is σ = 723256934400. Its totient is φ = 84170612160.

The previous prime is 256432018517. The next prime is 256432018537. The reversal of 256432018536 is 635810234652.

256432018536 is a `hidden beast` number, since 2 + 5 + 6 + 432 + 0 + 185 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256432018491 and 256432018500.

It is not an unprimeable number, because it can be changed into a prime (256432018537) 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 31 ways as a sum of consecutive naturals, for example, 5480601 + ... + 5527191.

It is an arithmetic number, because the mean of its divisors is an integer number (5650444800).

Almost surely, 2^256432018536 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 256432018536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361628467200).

256432018536 is an abundant number, since it is smaller than the sum of its proper divisors (466824915864).

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

256432018536 is a wasteful number, since it uses less digits than its factorization.

256432018536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46996 (or 46986 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 256432018536 in words is "two hundred fifty-six billion, four hundred thirty-two million, eighteen thousand, five hundred thirty-six".