253444431211344 has 120 divisors (see below), whose sum is σ = 721777021617600. Its totient is φ = 82996312227840.

The previous prime is 253444431211337. The next prime is 253444431211397. The reversal of 253444431211344 is 443112134444352.

253444431211344 is a `hidden beast` number, since 2 + 5 + 3 + 44 + 443 + 12 + 113 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 253444431211344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3677904 + ... + 22812624.

It is an arithmetic number, because the mean of its divisors is an integer number (6014808513480).

Almost surely, 2^{253444431211344} is an apocalyptic number.

253444431211344 is a gapful number since it is divisible by the number (24) 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 253444431211344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360888510808800).

253444431211344 is an abundant number, since it is smaller than the sum of its proper divisors (468332590406256).

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

253444431211344 is a wasteful number, since it uses less digits than its factorization.

253444431211344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19136353 (or 19136344 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 45.

Adding to 253444431211344 its reverse (443112134444352), we get a palindrome (696556565655696).

The spelling of 253444431211344 in words is "two hundred fifty-three trillion, four hundred forty-four billion, four hundred thirty-one million, two hundred eleven thousand, three hundred forty-four".