1348135649280 has 768 divisors, whose sum is σ = 5375086329600. Its totient is φ = 306189434880.

The previous prime is 1348135649251. The next prime is 1348135649369. The reversal of 1348135649280 is 829465318431.

It is a happy number.

1348135649280 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 1 + 356 + 4 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177924811 + ... + 2177925429.

It is an arithmetic number, because the mean of its divisors is an integer number (6998810325).

Almost surely, 2^{1348135649280} is an apocalyptic number.

1348135649280 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 1348135649280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687543164800).

1348135649280 is an abundant number, since it is smaller than the sum of its proper divisors (4026950680320).

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

1348135649280 is an equidigital number, since it uses as much as digits as its factorization.

1348135649280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1348135649280 in words is "one trillion, three hundred forty-eight billion, one hundred thirty-five million, six hundred forty-nine thousand, two hundred eighty".