6144718104000 has 1792 divisors, whose sum is σ = 27388108800000. Its totient is φ = 1317490790400.

The previous prime is 6144718103971. The next prime is 6144718104037. The reversal of 6144718104000 is 4018174416.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3073895001 + ... + 3073896999.

Almost surely, 2^{6144718104000} is an apocalyptic number.

6144718104000 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 6144718104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694054400000).

6144718104000 is an abundant number, since it is smaller than the sum of its proper divisors (21243390696000).

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

6144718104000 is a wasteful number, since it uses less digits than its factorization.

6144718104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 6144718104000 in words is "six trillion, one hundred forty-four billion, seven hundred eighteen million, one hundred four thousand".