6054808914000 has 1280 divisors, whose sum is σ = 27094871531520. Its totient is φ = 1255668480000.

The previous prime is 6054808913987. The next prime is 6054808914001. The reversal of 6054808914000 is 4198084506.

6054808914000 is a `hidden beast` number, since 60 + 548 + 0 + 8 + 9 + 1 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6054808914001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2748436899 + ... + 2748439101.

It is an arithmetic number, because the mean of its divisors is an integer number (21167868384).

Almost surely, 2^{6054808914000} is an apocalyptic number.

6054808914000 is a gapful number since it is divisible by the number (60) 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 6054808914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547435765760).

6054808914000 is an abundant number, since it is smaller than the sum of its proper divisors (21040062617520).

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

6054808914000 is a wasteful number, since it uses less digits than its factorization.

6054808914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 6054808914000 in words is "six trillion, fifty-four billion, eight hundred eight million, nine hundred fourteen thousand".