1345785811968 has 176 divisors, whose sum is σ = 3864300660416. Its totient is φ = 413941432320.

The previous prime is 1345785811967. The next prime is 1345785811999. The reversal of 1345785811968 is 8691185875431.

It is a super-2 number, since 2×1345785811968² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1345785811899 and 1345785811908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345785811963) 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 15 ways as a sum of consecutive naturals, for example, 183821748 + ... + 183829068.

Almost surely, 2^{1345785811968} 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 1345785811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1932150330208).

1345785811968 is an abundant number, since it is smaller than the sum of its proper divisors (2518514848448).

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

1345785811968 is a wasteful number, since it uses less digits than its factorization.

1345785811968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 11942 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 66.

The spelling of 1345785811968 in words is "one trillion, three hundred forty-five billion, seven hundred eighty-five million, eight hundred eleven thousand, nine hundred sixty-eight".