253463364352 has 144 divisors (see below), whose sum is σ = 556501075200. Its totient is φ = 114260889600.

The previous prime is 253463364347. The next prime is 253463364359.

253463364352 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×253463364352³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (253463364359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248249602 + ... + 248250622.

It is an arithmetic number, because the mean of its divisors is an integer number (3864590800).

Almost surely, 2^253463364352 is an apocalyptic number.

253463364352 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 253463364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278250537600).

253463364352 is an abundant number, since it is smaller than the sum of its proper divisors (303037710848).

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

253463364352 is a wasteful number, since it uses less digits than its factorization.

253463364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1676 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 46.

The spelling of 253463364352 in words is "two hundred fifty-three billion, four hundred sixty-three million, three hundred sixty-four thousand, three hundred fifty-two".