253441144352 has 144 divisors (see below), whose sum is σ = 561338368920. Its totient is φ = 112512491520.

The previous prime is 253441144351. The next prime is 253441144433.

253441144352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 236005526416 + 17435617936 = 485804^2 + 132044^2 .

It is not an unprimeable number, because it can be changed into a prime (253441144351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46991768 + ... + 46997160.

Almost surely, 2^253441144352 is an apocalyptic number.

253441144352 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 253441144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280669184460).

253441144352 is an abundant number, since it is smaller than the sum of its proper divisors (307897224568).

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

253441144352 is a wasteful number, since it uses less digits than its factorization.

253441144352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5707 (or 5688 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

It can be divided in two parts, 253441 and 144352, that added together give a palindrome (397793).

The spelling of 253441144352 in words is "two hundred fifty-three billion, four hundred forty-one million, one hundred forty-four thousand, three hundred fifty-two".