1348699927680 has 2304 divisors, whose sum is σ = 6013972224000. Its totient is φ = 277995110400.

The previous prime is 1348699927639. The next prime is 1348699927681. The reversal of 1348699927680 is 867299968431.

1348699927680 is a `hidden beast` number, since 1 + 348 + 6 + 9 + 9 + 9 + 276 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1348699927599 and 1348699927608.

It is not an unprimeable number, because it can be changed into a prime (1348699927681) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22109834850 + ... + 22109834910.

It is an arithmetic number, because the mean of its divisors is an integer number (2610231000).

Almost surely, 2^{1348699927680} is an apocalyptic number.

1348699927680 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 1348699927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006986112000).

1348699927680 is an abundant number, since it is smaller than the sum of its proper divisors (4665272296320).

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

1348699927680 is a wasteful number, since it uses less digits than its factorization.

1348699927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 1348699927680 in words is "one trillion, three hundred forty-eight billion, six hundred ninety-nine million, nine hundred twenty-seven thousand, six hundred eighty".