1348859288320 has 144 divisors (see below), whose sum is σ = 3244197293568. Its totient is φ = 537333903360.

The previous prime is 1348859288291. The next prime is 1348859288333. The reversal of 1348859288320 is 238829588431.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 546759727 + ... + 546762193.

It is an arithmetic number, because the mean of its divisors is an integer number (22529147872).

Almost surely, 2^{1348859288320} is an apocalyptic number.

1348859288320 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 1348859288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622098646784).

1348859288320 is an abundant number, since it is smaller than the sum of its proper divisors (1895338005248).

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

1348859288320 is a wasteful number, since it uses less digits than its factorization.

1348859288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 61.

The spelling of 1348859288320 in words is "one trillion, three hundred forty-eight billion, eight hundred fifty-nine million, two hundred eighty-eight thousand, three hundred twenty".