254264362272 has 162 divisors, whose sum is σ = 741343639491. Its totient is φ = 82663943040.

The previous prime is 254264362201. The next prime is 254264362301. The reversal of 254264362272 is 272263462452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

254264362272 is a `hidden beast` number, since 2 + 5 + 4 + 264 + 362 + 27 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127132181136 + 127132181136 = 356556^2 + 356556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=356556.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 367965447 + ... + 367966137.

Almost surely, 2^254264362272 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 254264362272

254264362272 is an abundant number, since it is smaller than the sum of its proper divisors (487079277219).

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

254264362272 is an frugal number, since it uses more digits than its factorization.

254264362272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 739 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 254264362272 in words is "two hundred fifty-four billion, two hundred sixty-four million, three hundred sixty-two thousand, two hundred seventy-two".