253233466304 has 112 divisors (see below), whose sum is σ = 620454464448. Its totient is φ = 99859488768.

The previous prime is 253233466303. The next prime is 253233466327. The reversal of 253233466304 is 403664332352.

253233466304 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 (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253233466303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1753454 + ... + 1892370.

It is an arithmetic number, because the mean of its divisors is an integer number (5539772004).

Almost surely, 2^253233466304 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 253233466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310227232224).

253233466304 is an abundant number, since it is smaller than the sum of its proper divisors (367220998144).

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

253233466304 is a wasteful number, since it uses less digits than its factorization.

253233466304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139262 (or 139252 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 41.

Adding to 253233466304 its reverse (403664332352), we get a palindrome (656897798656).

The spelling of 253233466304 in words is "two hundred fifty-three billion, two hundred thirty-three million, four hundred sixty-six thousand, three hundred four".