256112659348 has 192 divisors, whose sum is σ = 586350213120. Its totient is φ = 95148748800.

The previous prime is 256112659339. The next prime is 256112659349. The reversal of 256112659348 is 843956211652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 256112659295 and 256112659304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256112659349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186534390 + ... + 186535762.

It is an arithmetic number, because the mean of its divisors is an integer number (3053907360).

Almost surely, 2^256112659348 is an apocalyptic number.

256112659348 is a gapful number since it is divisible by the number (28) 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 256112659348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293175106560).

256112659348 is an abundant number, since it is smaller than the sum of its proper divisors (330237553772).

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

256112659348 is a wasteful number, since it uses less digits than its factorization.

256112659348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 52.

The spelling of 256112659348 in words is "two hundred fifty-six billion, one hundred twelve million, six hundred fifty-nine thousand, three hundred forty-eight".