256434434652 has 96 divisors (see below), whose sum is σ = 670578015744. Its totient is φ = 75585312000.

The previous prime is 256434434617. The next prime is 256434434693.

256434434652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256434434652² (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25894902 + ... + 25904802.

It is an arithmetic number, because the mean of its divisors is an integer number (6985187664).

Almost surely, 2^256434434652 is an apocalyptic number.

256434434652 is a gapful number since it is divisible by the number (22) 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 256434434652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335289007872).

256434434652 is an abundant number, since it is smaller than the sum of its proper divisors (414143581092).

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

256434434652 is a wasteful number, since it uses less digits than its factorization.

256434434652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15259 (or 15257 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 48.

The spelling of 256434434652 in words is "two hundred fifty-six billion, four hundred thirty-four million, four hundred thirty-four thousand, six hundred fifty-two".