2243833851168 has 1152 divisors, whose sum is σ = 8190083446272. Its totient is φ = 567193632768.

The previous prime is 2243833851053. The next prime is 2243833851229. The reversal of 2243833851168 is 8611583383422.

2243833851168 is a `hidden beast` number, since 2 + 2 + 4 + 38 + 3 + 38 + 511 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19856936680 + ... + 19856936792.

It is an arithmetic number, because the mean of its divisors is an integer number (7109447436).

Almost surely, 2^{2243833851168} is an apocalyptic number.

2243833851168 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 2243833851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095041723136).

2243833851168 is an abundant number, since it is smaller than the sum of its proper divisors (5946249595104).

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

2243833851168 is a wasteful number, since it uses less digits than its factorization.

2243833851168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 415 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 2243833851168 in words is "two trillion, two hundred forty-three billion, eight hundred thirty-three million, eight hundred fifty-one thousand, one hundred sixty-eight".