228069742464 has 576 divisors, whose sum is σ = 727246026000. Its totient is φ = 68382572544.

The previous prime is 228069742463. The next prime is 228069742471. The reversal of 228069742464 is 464247960822.

It is a happy number.

228069742464 is a `hidden beast` number, since 2 + 2 + 80 + 69 + 7 + 42 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 228069742464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228069742463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2562581332 + ... + 2562581420.

Almost surely, 2^228069742464 is an apocalyptic number.

228069742464 is a gapful number since it is divisible by the number (24) 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 228069742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363623013000).

228069742464 is an abundant number, since it is smaller than the sum of its proper divisors (499176283536).

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

228069742464 is a wasteful number, since it uses less digits than its factorization.

228069742464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 228069742464 in words is "two hundred twenty-eight billion, sixty-nine million, seven hundred forty-two thousand, four hundred sixty-four".