256434303434652 has 96 divisors (see below), whose sum is σ = 759808422105600. Its totient is φ = 73266646974336.

The previous prime is 256434303434597. The next prime is 256434303434657.

It is a happy number.

256434303434652 is a `hidden beast` number, since 2 + 56 + 43 + 430 + 34 + 3 + 46 + 52 = 666.

256434303434652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256434303434652² (a number of 30 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 not an unprimeable number, because it can be changed into a prime (256434303434657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243253048 + ... + 244304960.

It is an arithmetic number, because the mean of its divisors is an integer number (7914671063600).

Almost surely, 2^{256434303434652} is an apocalyptic number.

It is an amenable number.

256434303434652 is an abundant number, since it is smaller than the sum of its proper divisors (503374118670948).

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

256434303434652 is a wasteful number, since it uses less digits than its factorization.

256434303434652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374392 (or 1374384 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 54.

The spelling of 256434303434652 in words is "two hundred fifty-six trillion, four hundred thirty-four billion, three hundred three million, four hundred thirty-four thousand, six hundred fifty-two".