255733443648 has 560 divisors, whose sum is σ = 849839848704. Its totient is φ = 75618385920.

The previous prime is 255733443617. The next prime is 255733443649. The reversal of 255733443648 is 846344337552.

255733443648 is a `hidden beast` number, since 2 + 5 + 573 + 3 + 4 + 4 + 3 + 64 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 255733443594 and 255733443603.

It is not an unprimeable number, because it can be changed into a prime (255733443649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143912136 + ... + 143913912.

Almost surely, 2^255733443648 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 255733443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424919924352).

255733443648 is an abundant number, since it is smaller than the sum of its proper divisors (594106405056).

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

255733443648 is a wasteful number, since it uses less digits than its factorization.

255733443648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1893 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 255733443648 in words is "two hundred fifty-five billion, seven hundred thirty-three million, four hundred forty-three thousand, six hundred forty-eight".