1353234444100 has 288 divisors, whose sum is σ = 3701125612800. Its totient is φ = 417191731200.

The previous prime is 1353234444059. The next prime is 1353234444137. The reversal of 1353234444100 is 14444323531.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678992704 + ... + 678994696.

It is an arithmetic number, because the mean of its divisors is an integer number (12851130600).

Almost surely, 2^{1353234444100} is an apocalyptic number.

1353234444100 is a gapful number since it is divisible by the number (10) 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 1353234444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850562806400).

1353234444100 is an abundant number, since it is smaller than the sum of its proper divisors (2347891168700).

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

1353234444100 is a wasteful number, since it uses less digits than its factorization.

1353234444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 1353234444100 its reverse (14444323531), we get a palindrome (1367678767631).

The spelling of 1353234444100 in words is "one trillion, three hundred fifty-three billion, two hundred thirty-four million, four hundred forty-four thousand, one hundred".