256034350432 has 96 divisors (see below), whose sum is σ = 608557985280. Its totient is φ = 103583370240.

The previous prime is 256034350427. The next prime is 256034350459. The reversal of 256034350432 is 234053430652.

256034350432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256034350432² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256034350391 and 256034350400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1088893 + ... + 1302979.

It is an arithmetic number, because the mean of its divisors is an integer number (6339145680).

Almost surely, 2^256034350432 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 256034350432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304278992640).

256034350432 is an abundant number, since it is smaller than the sum of its proper divisors (352523634848).

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

256034350432 is a wasteful number, since it uses less digits than its factorization.

256034350432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214404 (or 214396 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

The spelling of 256034350432 in words is "two hundred fifty-six billion, thirty-four million, three hundred fifty thousand, four hundred thirty-two".