254246903712256 has 640 divisors, whose sum is σ = 692015868149760. Its totient is φ = 90450631065600.

The previous prime is 254246903712229. The next prime is 254246903712271. The reversal of 254246903712256 is 652217309642452.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 254246903712256.

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, 1939699201 + ... + 1939830271.

It is an arithmetic number, because the mean of its divisors is an integer number (1081274793984).

Almost surely, 2^{254246903712256} is an apocalyptic number.

254246903712256 is a gapful number since it is divisible by the number (26) 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 254246903712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346007934074880).

254246903712256 is an abundant number, since it is smaller than the sum of its proper divisors (437768964437504).

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

254246903712256 is a wasteful number, since it uses less digits than its factorization.

254246903712256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131236 (or 131220 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 254246903712256 in words is "two hundred fifty-four trillion, two hundred forty-six billion, nine hundred three million, seven hundred twelve thousand, two hundred fifty-six".