1623664003344 has 160 divisors (see below), whose sum is σ = 4451324620800. Its totient is φ = 508554547200.

The previous prime is 1623664003343. The next prime is 1623664003391. The reversal of 1623664003344 is 4433004663261.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1623664003296 and 1623664003305.

It is not an unprimeable number, because it can be changed into a prime (1623664003343) 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 31 ways as a sum of consecutive naturals, for example, 92671417 + ... + 92688935.

It is an arithmetic number, because the mean of its divisors is an integer number (27820778880).

Almost surely, 2^{1623664003344} 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 1623664003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225662310400).

1623664003344 is an abundant number, since it is smaller than the sum of its proper divisors (2827660617456).

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

1623664003344 is a wasteful number, since it uses less digits than its factorization.

1623664003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18373 (or 18367 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 1623664003344 in words is "one trillion, six hundred twenty-three billion, six hundred sixty-four million, three thousand, three hundred forty-four".