2246198205888 has 1792 divisors, whose sum is σ = 8677777920000. Its totient is φ = 572816240640.

The previous prime is 2246198205847. The next prime is 2246198205899. The reversal of 2246198205888 is 8885028916422.

2246198205888 is a `hidden beast` number, since 2 + 2 + 4 + 619 + 8 + 2 + 0 + 5 + 8 + 8 + 8 = 666.

2246198205888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36822921378 + ... + 36822921438.

It is an arithmetic number, because the mean of its divisors is an integer number (4842510000).

Almost surely, 2^{2246198205888} is an apocalyptic number.

2246198205888 is a gapful number since it is divisible by the number (28) 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 2246198205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4338888960000).

2246198205888 is an abundant number, since it is smaller than the sum of its proper divisors (6431579714112).

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

2246198205888 is an frugal number, since it uses more digits than its factorization.

2246198205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 2246198205888 in words is "two trillion, two hundred forty-six billion, one hundred ninety-eight million, two hundred five thousand, eight hundred eighty-eight".