2281644124416 has 216 divisors, whose sum is σ = 6948454705920. Its totient is φ = 718056050688.

The previous prime is 2281644124393. The next prime is 2281644124423. The reversal of 2281644124416 is 6144214461822.

2281644124416 is a `hidden beast` number, since 2 + 2 + 8 + 164 + 41 + 2 + 441 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12737425 + ... + 12915311.

Almost surely, 2^{2281644124416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281644124416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474227352960).

2281644124416 is an abundant number, since it is smaller than the sum of its proper divisors (4666810581504).

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

2281644124416 is a wasteful number, since it uses less digits than its factorization.

2281644124416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178221 (or 178204 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The spelling of 2281644124416 in words is "two trillion, two hundred eighty-one billion, six hundred forty-four million, one hundred twenty-four thousand, four hundred sixteen".