254722212864 has 704 divisors, whose sum is σ = 925335705600. Its totient is φ = 67594715136.

The previous prime is 254722212851. The next prime is 254722212881. The reversal of 254722212864 is 468212227452.

254722212864 is a `hidden beast` number, since 2 + 547 + 2 + 2 + 21 + 2 + 86 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 194890099 + ... + 194891405.

Almost surely, 2^254722212864 is an apocalyptic number.

254722212864 is a gapful number since it is divisible by the number (24) 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 254722212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462667852800).

254722212864 is an abundant number, since it is smaller than the sum of its proper divisors (670613492736).

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

254722212864 is a wasteful number, since it uses less digits than its factorization.

254722212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1391 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 254722212864 in words is "two hundred fifty-four billion, seven hundred twenty-two million, two hundred twelve thousand, eight hundred sixty-four".