5541226225416 has 768 divisors, whose sum is σ = 18889384550400. Its totient is φ = 1431669178368.

The previous prime is 5541226225411. The next prime is 5541226225429. The reversal of 5541226225416 is 6145226221455.

5541226225416 is a `hidden beast` number, since 5 + 5 + 4 + 1 + 2 + 2 + 6 + 225 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (5541226225411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6450786795 + ... + 6450787653.

It is an arithmetic number, because the mean of its divisors is an integer number (24595552800).

Almost surely, 2^{5541226225416} is an apocalyptic number.

5541226225416 is a gapful number since it is divisible by the number (56) 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 5541226225416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9444692275200).

5541226225416 is an abundant number, since it is smaller than the sum of its proper divisors (13348158324984).

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

5541226225416 is a wasteful number, since it uses less digits than its factorization.

5541226225416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1211 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 5541226225416 in words is "five trillion, five hundred forty-one billion, two hundred twenty-six million, two hundred twenty-five thousand, four hundred sixteen".