229646777472 has 216 divisors, whose sum is σ = 769104859185. Its totient is φ = 65580834816.

The previous prime is 229646777449. The next prime is 229646777497. The reversal of 229646777472 is 274777646922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

229646777472 is a `hidden beast` number, since 2 + 2 + 96 + 4 + 6 + 7 + 77 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197754532416 + 31892245056 = 444696^2 + 178584^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338856.

It is a super-3 number, since 3×229646777472³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 113854608 + ... + 113856624.

Almost surely, 2^229646777472 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 229646777472

229646777472 is an abundant number, since it is smaller than the sum of its proper divisors (539458081713).

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

229646777472 is an frugal number, since it uses more digits than its factorization.

229646777472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 2029 counting only the distinct ones).

The product of its digits is 99574272, while the sum is 63.

The spelling of 229646777472 in words is "two hundred twenty-nine billion, six hundred forty-six million, seven hundred seventy-seven thousand, four hundred seventy-two".