1348003848960 has 576 divisors, whose sum is σ = 4914822528000. Its totient is φ = 349671555072.

The previous prime is 1348003848953. The next prime is 1348003849033. The reversal of 1348003848960 is 698483008431.

1348003848960 is a `hidden beast` number, since 1 + 3 + 480 + 0 + 3 + 84 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1348003848960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1348003848897 and 1348003848906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 390837316 + ... + 390840764.

It is an arithmetic number, because the mean of its divisors is an integer number (8532678000).

Almost surely, 2^{1348003848960} is an apocalyptic number.

1348003848960 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 1348003848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457411264000).

1348003848960 is an abundant number, since it is smaller than the sum of its proper divisors (3566818679040).

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

1348003848960 is a wasteful number, since it uses less digits than its factorization.

1348003848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1348003848960 in words is "one trillion, three hundred forty-eight billion, three million, eight hundred forty-eight thousand, nine hundred sixty".