253442244352 has 144 divisors (see below), whose sum is σ = 559077251040. Its totient is φ = 113707008000.

The previous prime is 253442244337. The next prime is 253442244353.

253442244352 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253442244353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106085974 + ... + 106088362.

It is an arithmetic number, because the mean of its divisors is an integer number (3882480910).

Almost surely, 2^253442244352 is an apocalyptic number.

253442244352 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 253442244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279538625520).

253442244352 is an abundant number, since it is smaller than the sum of its proper divisors (305635006688).

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

253442244352 is a wasteful number, since it uses less digits than its factorization.

253442244352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 2876 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 253442 and 244352, that added together give a palindrome (497794).

The spelling of 253442244352 in words is "two hundred fifty-three billion, four hundred forty-two million, two hundred forty-four thousand, three hundred fifty-two".