228214128954240 has 4608 divisors, whose sum is σ = 1075946049360000. Its totient is φ = 43948588400640.

The previous prime is 228214128954199. The next prime is 228214128954281. The reversal of 228214128954240 is 42459821412822.

228214128954240 is a `hidden beast` number, since 2 + 2 + 8 + 2 + 1 + 4 + 12 + 89 + 542 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (228214128954199) and next prime (228214128954281).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 84869514816 + ... + 84869517504.

Almost surely, 2^{228214128954240} is an apocalyptic number.

228214128954240 is a gapful number since it is divisible by the number (20) 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 228214128954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537973024680000).

228214128954240 is an abundant number, since it is smaller than the sum of its proper divisors (847731920405760).

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

228214128954240 is a wasteful number, since it uses less digits than its factorization.

228214128954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814 (or 2788 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 228214128954240 in words is "two hundred twenty-eight trillion, two hundred fourteen billion, one hundred twenty-eight million, nine hundred fifty-four thousand, two hundred forty".