254779495631232 has 256 divisors, whose sum is σ = 795095757630720. Its totient is φ = 71264896081920.

The previous prime is 254779495631203. The next prime is 254779495631317. The reversal of 254779495631232 is 232136594977452.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3539207143 + ... + 3539279129.

It is an arithmetic number, because the mean of its divisors is an integer number (3105842803245).

Almost surely, 2^{254779495631232} is an apocalyptic number.

254779495631232 is a gapful number since it is divisible by the number (22) 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 254779495631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397547878815360).

254779495631232 is an abundant number, since it is smaller than the sum of its proper divisors (540316261999488).

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

254779495631232 is a wasteful number, since it uses less digits than its factorization.

254779495631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136481 (or 136469 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 69.

The spelling of 254779495631232 in words is "two hundred fifty-four trillion, seven hundred seventy-nine billion, four hundred ninety-five million, six hundred thirty-one thousand, two hundred thirty-two".