228954696300000 has 1728 divisors, whose sum is σ = 898628624712000. Its totient is φ = 54831513600000.

The previous prime is 228954696299951. The next prime is 228954696300019. The reversal of 228954696300000 is 3696459822.

It is a happy number.

228954696300000 is a `hidden beast` number, since 2 + 2 + 8 + 9 + 546 + 96 + 3 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 15131249²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 228954696300000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 396801899712 + ... + 396801900288.

It is an arithmetic number, because the mean of its divisors is an integer number (520039713375).

Almost surely, 2^{228954696300000} is an apocalyptic number.

228954696300000 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 228954696300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449314312356000).

228954696300000 is an abundant number, since it is smaller than the sum of its proper divisors (669673928412000).

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

228954696300000 is a wasteful number, since it uses less digits than its factorization.

228954696300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 228954696300000 in words is "two hundred twenty-eight trillion, nine hundred fifty-four billion, six hundred ninety-six million, three hundred thousand".