1353444000000 has 252 divisors, whose sum is σ = 4502650802832. Its totient is φ = 360915200000.

The previous prime is 1353443999981. The next prime is 1353444000037. The reversal of 1353444000000 is 4443531.

It is a super-2 number, since 2×1353444000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 11943607 + ... + 12056393.

It is an arithmetic number, because the mean of its divisors is an integer number (17867661916).

Almost surely, 2^{1353444000000} is an apocalyptic number.

1353444000000 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 1353444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251325401416).

1353444000000 is an abundant number, since it is smaller than the sum of its proper divisors (3149206802832).

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

1353444000000 is an frugal number, since it uses more digits than its factorization.

1353444000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112836 (or 112797 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 1353444000000 its reverse (4443531), we get a palindrome (1353448443531).

The spelling of 1353444000000 in words is "one trillion, three hundred fifty-three billion, four hundred forty-four million", and thus it is an aban number.