345782305760256 has 1056 divisors, whose sum is σ = 1082808317260800. Its totient is φ = 105945074565120.

The previous prime is 345782305760251. The next prime is 345782305760291. The reversal of 345782305760256 is 652067503287543.

345782305760256 is a `hidden beast` number, since 3 + 4 + 5 + 7 + 8 + 2 + 3 + 0 + 576 + 0 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345782305760193 and 345782305760202.

It is not an unprimeable number, because it can be changed into a prime (345782305760251) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465386683021 + ... + 465386683763.

Almost surely, 2^{345782305760256} is an apocalyptic number.

345782305760256 is a gapful number since it is divisible by the number (36) 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 345782305760256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541404158630400).

345782305760256 is an abundant number, since it is smaller than the sum of its proper divisors (737026011500544).

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

345782305760256 is a wasteful number, since it uses less digits than its factorization.

345782305760256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 63.

The spelling of 345782305760256 in words is "three hundred forty-five trillion, seven hundred eighty-two billion, three hundred five million, seven hundred sixty thousand, two hundred fifty-six".