1348964541180 has 288 divisors, whose sum is σ = 4206011322240. Its totient is φ = 349851156480.

The previous prime is 1348964541179. The next prime is 1348964541233. The reversal of 1348964541180 is 811454698431.

1348964541180 is a `hidden beast` number, since 1 + 3 + 4 + 8 + 9 + 6 + 454 + 1 + 180 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417763806 + ... + 417767034.

It is an arithmetic number, because the mean of its divisors is an integer number (14604205980).

Almost surely, 2^{1348964541180} is an apocalyptic number.

1348964541180 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 1348964541180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103005661120).

1348964541180 is an abundant number, since it is smaller than the sum of its proper divisors (2857046781060).

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

1348964541180 is a wasteful number, since it uses less digits than its factorization.

1348964541180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1348964541180 in words is "one trillion, three hundred forty-eight billion, nine hundred sixty-four million, five hundred forty-one thousand, one hundred eighty".