1330623106344 has 512 divisors, whose sum is σ = 4521775104000. Its totient is φ = 353910767616.

The previous prime is 1330623106297. The next prime is 1330623106363. The reversal of 1330623106344 is 4436013260331.

1330623106344 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 6 + 2 + 3 + 10 + 634 + 4 = 666.

It is a super-2 number, since 2×1330623106344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1330623106299 and 1330623106308.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1025923104 + ... + 1025924400.

It is an arithmetic number, because the mean of its divisors is an integer number (8831592000).

Almost surely, 2^{1330623106344} is an apocalyptic number.

1330623106344 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 1330623106344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260887552000).

1330623106344 is an abundant number, since it is smaller than the sum of its proper divisors (3191151997656).

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

1330623106344 is a wasteful number, since it uses less digits than its factorization.

1330623106344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 1330623106344 its reverse (4436013260331), we get a palindrome (5766636366675).

The spelling of 1330623106344 in words is "one trillion, three hundred thirty billion, six hundred twenty-three million, one hundred six thousand, three hundred forty-four".