1355444022464 has 112 divisors (see below), whose sum is σ = 3150150647616. Its totient is φ = 566516121600.

The previous prime is 1355444022451. The next prime is 1355444022497. The reversal of 1355444022464 is 4642204445531.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52537952 + ... + 52563744.

It is an arithmetic number, because the mean of its divisors is an integer number (28126345068).

Almost surely, 2^{1355444022464} is an apocalyptic number.

1355444022464 is a gapful number since it is divisible by the number (14) 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 1355444022464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575075323808).

1355444022464 is an abundant number, since it is smaller than the sum of its proper divisors (1794706625152).

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

1355444022464 is a wasteful number, since it uses less digits than its factorization.

1355444022464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28714 (or 28704 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 44.

Adding to 1355444022464 its reverse (4642204445531), we get a palindrome (5997648467995).

The spelling of 1355444022464 in words is "one trillion, three hundred fifty-five billion, four hundred forty-four million, twenty-two thousand, four hundred sixty-four".