228953441376 has 576 divisors, whose sum is σ = 767626868736. Its totient is φ = 66512793600.

The previous prime is 228953441371. The next prime is 228953441393. The reversal of 228953441376 is 673144359822.

228953441376 is a `hidden beast` number, since 2 + 2 + 89 + 53 + 441 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228953441371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231032241 + ... + 231033231.

It is an arithmetic number, because the mean of its divisors is an integer number (1332685536).

Almost surely, 2^228953441376 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 228953441376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383813434368).

228953441376 is an abundant number, since it is smaller than the sum of its proper divisors (538673427360).

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

228953441376 is a wasteful number, since it uses less digits than its factorization.

228953441376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1117 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 228953441376 in words is "two hundred twenty-eight billion, nine hundred fifty-three million, four hundred forty-one thousand, three hundred seventy-six".