254328422280768 has 224 divisors, whose sum is σ = 816189132810240. Its totient is φ = 77018204736000.

The previous prime is 254328422280761. The next prime is 254328422280817. The reversal of 254328422280768 is 867082224823452.

254328422280768 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 284 + 2 + 2 + 280 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (254328422280761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24293533 + ... + 33148643.

It is an arithmetic number, because the mean of its divisors is an integer number (3643701485760).

Almost surely, 2^{254328422280768} 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 254328422280768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408094566405120).

254328422280768 is an abundant number, since it is smaller than the sum of its proper divisors (561860710529472).

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

254328422280768 is a wasteful number, since it uses less digits than its factorization.

254328422280768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8856654 (or 8856638 counting only the distinct ones).

The product of its (nonzero) digits is 165150720, while the sum is 63.

The spelling of 254328422280768 in words is "two hundred fifty-four trillion, three hundred twenty-eight billion, four hundred twenty-two million, two hundred eighty thousand, seven hundred sixty-eight".