256203431136 has 192 divisors, whose sum is σ = 759154959360. Its totient is φ = 84044252160.

The previous prime is 256203431131. The next prime is 256203431137. The reversal of 256203431136 is 631134302652.

256203431136 is a `hidden beast` number, since 2 + 5 + 6 + 203 + 431 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 256203431136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256203431131) 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, 95919081 + ... + 95921751.

It is an arithmetic number, because the mean of its divisors is an integer number (3953932080).

Almost surely, 2^256203431136 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 256203431136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379577479680).

256203431136 is an abundant number, since it is smaller than the sum of its proper divisors (502951528224).

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

256203431136 is a wasteful number, since it uses less digits than its factorization.

256203431136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4414 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 256203431136 its reverse (631134302652), we get a palindrome (887337733788).

The spelling of 256203431136 in words is "two hundred fifty-six billion, two hundred three million, four hundred thirty-one thousand, one hundred thirty-six".