256783346316 has 192 divisors, whose sum is σ = 801276851200. Its totient is φ = 69471157248.

The previous prime is 256783346293. The next prime is 256783346333. The reversal of 256783346316 is 613643387652.

256783346316 is a `hidden beast` number, since 2 + 567 + 8 + 3 + 3 + 4 + 63 + 16 = 666.

256783346316 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46206210 + ... + 46211766.

Almost surely, 2^256783346316 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 256783346316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400638425600).

256783346316 is an abundant number, since it is smaller than the sum of its proper divisors (544493504884).

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

256783346316 is a wasteful number, since it uses less digits than its factorization.

256783346316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8805 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 256783346316 in words is "two hundred fifty-six billion, seven hundred eighty-three million, three hundred forty-six thousand, three hundred sixteen".