1348034012160 has 528 divisors, whose sum is σ = 4867534246848. Its totient is φ = 317947576320.

The previous prime is 1348034012147. The next prime is 1348034012173. The reversal of 1348034012160 is 612104308431.

It is an interprime number because it is at equal distance from previous prime (1348034012147) and next prime (1348034012173).

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 68756919 + ... + 68776521.

Almost surely, 2^{1348034012160} is an apocalyptic number.

1348034012160 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 1348034012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433767123424).

1348034012160 is an abundant number, since it is smaller than the sum of its proper divisors (3519500234688).

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

1348034012160 is a wasteful number, since it uses less digits than its factorization.

1348034012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19690 (or 19661 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1348034012160 in words is "one trillion, three hundred forty-eight billion, thirty-four million, twelve thousand, one hundred sixty".