1345346758656 has 384 divisors, whose sum is σ = 4111718083200. Its totient is φ = 434440765440.

The previous prime is 1345346758597. The next prime is 1345346758699. The reversal of 1345346758656 is 6568576435431.

1345346758656 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 3 + 46 + 7 + 586 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1345346758593 and 1345346758602.

It is an unprimeable number.

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, 225991776 + ... + 225997728.

It is an arithmetic number, because the mean of its divisors is an integer number (10707599175).

Almost surely, 2^{1345346758656} is an apocalyptic number.

1345346758656 is a gapful number since it is divisible by the number (16) 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 1345346758656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055859041600).

1345346758656 is an abundant number, since it is smaller than the sum of its proper divisors (2766371324544).

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

1345346758656 is an equidigital number, since it uses as much as digits as its factorization.

1345346758656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6112 (or 6086 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 1345346758656 in words is "one trillion, three hundred forty-five billion, three hundred forty-six million, seven hundred fifty-eight thousand, six hundred fifty-six".