228954960000 has 960 divisors, whose sum is σ = 903400538040. Its totient is φ = 55296000000.

The previous prime is 228954959983. The next prime is 228954960107. The reversal of 228954960000 is 69459822.

228954960000 is a `hidden beast` number, since 22 + 89 + 549 + 6 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 124925488704 + 104029471296 = 353448^2 + 322536^2 .

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 570959800 + ... + 570960200.

Almost surely, 2^228954960000 is an apocalyptic number.

228954960000 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 228954960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451700269020).

228954960000 is an abundant number, since it is smaller than the sum of its proper divisors (674445578040).

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

228954960000 is a wasteful number, since it uses less digits than its factorization.

228954960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 228954960000 in words is "two hundred twenty-eight billion, nine hundred fifty-four million, nine hundred sixty thousand".