233011284480 has 480 divisors, whose sum is σ = 878924526480. Its totient is φ = 56705679360.

The previous prime is 233011284463. The next prime is 233011284487. The reversal of 233011284480 is 84482110332.

It is a happy number.

233011284480 is a `hidden beast` number, since 2 + 330 + 1 + 1 + 284 + 48 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7606630656 + 225404653824 = 87216^2 + 474768^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233011284487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26652910 + ... + 26661650.

Almost surely, 2^233011284480 is an apocalyptic number.

233011284480 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 233011284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439462263240).

233011284480 is an abundant number, since it is smaller than the sum of its proper divisors (645913242000).

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

233011284480 is a wasteful number, since it uses less digits than its factorization.

233011284480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8872 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 233011284480 in words is "two hundred thirty-three billion, eleven million, two hundred eighty-four thousand, four hundred eighty".