254213116416 has 1200 divisors, whose sum is σ = 951228742464. Its totient is φ = 67596705792.

The previous prime is 254213116403. The next prime is 254213116481. The reversal of 254213116416 is 614611312452.

254213116416 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 1 + 3 + 1 + 1 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6870624750 + ... + 6870624786.

Almost surely, 2^254213116416 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 254213116416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475614371232).

254213116416 is an abundant number, since it is smaller than the sum of its proper divisors (697015626048).

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

254213116416 is an frugal number, since it uses more digits than its factorization.

254213116416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

Adding to 254213116416 its reverse (614611312452), we get a palindrome (868824428868).

The spelling of 254213116416 in words is "two hundred fifty-four billion, two hundred thirteen million, one hundred sixteen thousand, four hundred sixteen".