233303402112 has 384 divisors, whose sum is σ = 721474560000. Its totient is φ = 66232565760.

The previous prime is 233303402063. The next prime is 233303402141. The reversal of 233303402112 is 211204303332.

233303402112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467541639 + ... + 467542137.

It is an arithmetic number, because the mean of its divisors is an integer number (1878840000).

Almost surely, 2^233303402112 is an apocalyptic number.

233303402112 is a gapful number since it is divisible by the number (22) 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 233303402112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360737280000).

233303402112 is an abundant number, since it is smaller than the sum of its proper divisors (488171157888).

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

233303402112 is a wasteful number, since it uses less digits than its factorization.

233303402112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233303402112 its reverse (211204303332), we get a palindrome (444507705444).

The spelling of 233303402112 in words is "two hundred thirty-three billion, three hundred three million, four hundred two thousand, one hundred twelve".