6044235894144 has 1280 divisors, whose sum is σ = 21805079408640. Its totient is φ = 1625868288000.

The previous prime is 6044235894131. The next prime is 6044235894209. The reversal of 6044235894144 is 4414985324406.

6044235894144 is a `hidden beast` number, since 6 + 0 + 4 + 42 + 3 + 589 + 4 + 14 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15224775354 + ... + 15224775750.

It is an arithmetic number, because the mean of its divisors is an integer number (17035218288).

Almost surely, 2^{6044235894144} is an apocalyptic number.

6044235894144 is a gapful number since it is divisible by the number (64) 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 6044235894144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10902539704320).

6044235894144 is an abundant number, since it is smaller than the sum of its proper divisors (15760843514496).

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

6044235894144 is a wasteful number, since it uses less digits than its factorization.

6044235894144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6044235894144 in words is "six trillion, forty-four billion, two hundred thirty-five million, eight hundred ninety-four thousand, one hundred forty-four".