254705971968 has 432 divisors, whose sum is σ = 900191335680. Its totient is φ = 67637846016.

The previous prime is 254705971963. The next prime is 254705971969. The reversal of 254705971968 is 869179507452.

254705971968 is a `hidden beast` number, since 2 + 5 + 470 + 5 + 9 + 71 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (254705971963) 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 47 ways as a sum of consecutive naturals, for example, 16233055 + ... + 16248737.

It is an arithmetic number, because the mean of its divisors is an integer number (2083776240).

Almost surely, 2^254705971968 is an apocalyptic number.

254705971968 is a gapful number since it is divisible by the number (28) 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 254705971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450095667840).

254705971968 is an abundant number, since it is smaller than the sum of its proper divisors (645485363712).

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

254705971968 is a wasteful number, since it uses less digits than its factorization.

254705971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15784 (or 15767 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 254705971968 in words is "two hundred fifty-four billion, seven hundred five million, nine hundred seventy-one thousand, nine hundred sixty-eight".