254909370768 has 360 divisors, whose sum is σ = 776041892640. Its totient is φ = 71866828800.

The previous prime is 254909370767. The next prime is 254909370791. The reversal of 254909370768 is 867073909452.

It is not an unprimeable number, because it can be changed into a prime (254909370767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148116148 + ... + 148117868.

It is an arithmetic number, because the mean of its divisors is an integer number (2155671924).

Almost surely, 2^254909370768 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 254909370768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388020946320).

254909370768 is an abundant number, since it is smaller than the sum of its proper divisors (521132521872).

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

254909370768 is a wasteful number, since it uses less digits than its factorization.

254909370768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 254909370768 in words is "two hundred fifty-four billion, nine hundred nine million, three hundred seventy thousand, seven hundred sixty-eight".