253354511144 has 128 divisors (see below), whose sum is σ = 569438208000. Its totient is φ = 103324066560.

The previous prime is 253354511143. The next prime is 253354511147. The reversal of 253354511144 is 441115453352.

It is a junction number, because it is equal to n+sod(n) for n = 253354511098 and 253354511107.

It is not an unprimeable number, because it can be changed into a prime (253354511141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417387689 + ... + 417388295.

It is an arithmetic number, because the mean of its divisors is an integer number (4448736000).

Almost surely, 2^253354511144 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 253354511144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284719104000).

253354511144 is an abundant number, since it is smaller than the sum of its proper divisors (316083696856).

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

253354511144 is a wasteful number, since it uses less digits than its factorization.

253354511144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1779 counting only the distinct ones).

The product of its digits is 144000, while the sum is 38.

Adding to 253354511144 its reverse (441115453352), we get a palindrome (694469964496).

The spelling of 253354511144 in words is "two hundred fifty-three billion, three hundred fifty-four million, five hundred eleven thousand, one hundred forty-four".