256145541652 has 96 divisors (see below), whose sum is σ = 604372930560. Its totient is φ = 91734491520.

The previous prime is 256145541647. The next prime is 256145541653.

256145541652 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×256145541652² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256145541653) 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, 823123 + ... + 1090789.

It is an arithmetic number, because the mean of its divisors is an integer number (6295551360).

Almost surely, 2^256145541652 is an apocalyptic number.

256145541652 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 256145541652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302186465280).

256145541652 is an abundant number, since it is smaller than the sum of its proper divisors (348227388908).

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

256145541652 is a wasteful number, since it uses less digits than its factorization.

256145541652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267941 (or 267939 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 46.

It can be divided in two parts, 256145 and 541652, that added together give a palindrome (797797).

The spelling of 256145541652 in words is "two hundred fifty-six billion, one hundred forty-five million, five hundred forty-one thousand, six hundred fifty-two".