254399218416 has 360 divisors, whose sum is σ = 848377468224. Its totient is φ = 70924492800.

The previous prime is 254399218357. The next prime is 254399218429. The reversal of 254399218416 is 614812993452.

It is a happy number.

254399218416 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 9 + 9 + 218 + 416 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 132983476 + ... + 132985388.

Almost surely, 2^254399218416 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 254399218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424188734112).

254399218416 is an abundant number, since it is smaller than the sum of its proper divisors (593978249808).

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

254399218416 is a wasteful number, since it uses less digits than its factorization.

254399218416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2373 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The spelling of 254399218416 in words is "two hundred fifty-four billion, three hundred ninety-nine million, two hundred eighteen thousand, four hundred sixteen".