6226489854144 has 336 divisors, whose sum is σ = 21063991603200. Its totient is φ = 1720846632960.

The previous prime is 6226489854083. The next prime is 6226489854149. The reversal of 6226489854144 is 4414589846226.

It is a happy number.

6226489854144 is a `hidden beast` number, since 6 + 2 + 2 + 6 + 4 + 89 + 8 + 541 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6226489854149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318594837 + ... + 318614379.

It is an arithmetic number, because the mean of its divisors is an integer number (62690451200).

Almost surely, 2^{6226489854144} is an apocalyptic number.

6226489854144 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 6226489854144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10531995801600).

6226489854144 is an abundant number, since it is smaller than the sum of its proper divisors (14837501749056).

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

6226489854144 is a wasteful number, since it uses less digits than its factorization.

6226489854144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22148 (or 22135 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 6226489854144 in words is "six trillion, two hundred twenty-six billion, four hundred eighty-nine million, eight hundred fifty-four thousand, one hundred forty-four".