254718052416 has 189 divisors, whose sum is σ = 776204357799. Its totient is φ = 79846944768.

The previous prime is 254718052411. The next prime is 254718052429. The reversal of 254718052416 is 614250817452.

The square root of 254718052416 is 504696.

It is a perfect power (a square), and thus also a powerful number.

254718052416 is a `hidden beast` number, since 2 + 5 + 4 + 7 + 180 + 52 + 416 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72628094016 + 182089958400 = 269496^2 + 426720^2 .

It is not an unprimeable number, because it can be changed into a prime (254718052411) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205915350 + ... + 205916586.

Almost surely, 2^254718052416 is an apocalyptic number.

254718052416 is the 504696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 254718052416

254718052416 is an abundant number, since it is smaller than the sum of its proper divisors (521486305383).

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

254718052416 is an equidigital number, since it uses as much as digits as its factorization.

254718052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2526 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

Adding to 254718052416 its reverse (614250817452), we get a palindrome (868968869868).

The spelling of 254718052416 in words is "two hundred fifty-four billion, seven hundred eighteen million, fifty-two thousand, four hundred sixteen".