1345106165760 has 1440 divisors, whose sum is σ = 5667799737600. Its totient is φ = 305892163584.

The previous prime is 1345106165759. The next prime is 1345106165761. The reversal of 1345106165760 is 675616015431.

1345106165760 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 10 + 61 + 6 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1345106165759) and next prime (1345106165761).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345106165761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6827949982 + ... + 6827950178.

It is an arithmetic number, because the mean of its divisors is an integer number (3935972040).

Almost surely, 2^{1345106165760} is an apocalyptic number.

1345106165760 is a gapful number since it is divisible by the number (10) 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 1345106165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833899868800).

1345106165760 is an abundant number, since it is smaller than the sum of its proper divisors (4322693571840).

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

1345106165760 is an frugal number, since it uses more digits than its factorization.

1345106165760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1345106165760 in words is "one trillion, three hundred forty-five billion, one hundred six million, one hundred sixty-five thousand, seven hundred sixty".