254420247761856 has 896 divisors, whose sum is σ = 880902704332800. Its totient is φ = 71143773880320.

The previous prime is 254420247761851. The next prime is 254420247761887. The reversal of 254420247761856 is 658167742024452.

254420247761856 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 2 + 0 + 2 + 4 + 7 + 7 + 618 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 254420247761793 and 254420247761802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254420247761851) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7301886771 + ... + 7301921613.

Almost surely, 2^{254420247761856} 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 254420247761856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440451352166400).

254420247761856 is an abundant number, since it is smaller than the sum of its proper divisors (626482456570944).

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

254420247761856 is a wasteful number, since it uses less digits than its factorization.

254420247761856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35334 (or 35318 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 254420247761856 in words is "two hundred fifty-four trillion, four hundred twenty billion, two hundred forty-seven million, seven hundred sixty-one thousand, eight hundred fifty-six".