256006474152 has 192 divisors, whose sum is σ = 776476964160. Its totient is φ = 69674342400.

The previous prime is 256006474151. The next prime is 256006474153. The reversal of 256006474152 is 251474600652.

256006474152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (256006474151) and next prime (256006474153).

It is not an unprimeable number, because it can be changed into a prime (256006474151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1573252 + ... + 1728332.

It is an arithmetic number, because the mean of its divisors is an integer number (4044150855).

Almost surely, 2^256006474152 is an apocalyptic number.

256006474152 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 256006474152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388238482080).

256006474152 is an abundant number, since it is smaller than the sum of its proper divisors (520470490008).

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

256006474152 is a wasteful number, since it uses less digits than its factorization.

256006474152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155164 (or 155147 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 256006474152 in words is "two hundred fifty-six billion, six million, four hundred seventy-four thousand, one hundred fifty-two".