2226982355136 has 448 divisors, whose sum is σ = 8175059819520. Its totient is φ = 577539072000.

The previous prime is 2226982355131. The next prime is 2226982355161. The reversal of 2226982355136 is 6315532896222.

It is a happy number.

2226982355136 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 9 + 82 + 3 + 551 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2226982355131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87937356 + ... + 87962676.

Almost surely, 2^{2226982355136} 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 2226982355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087529909760).

2226982355136 is an abundant number, since it is smaller than the sum of its proper divisors (5948077464384).

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

2226982355136 is a wasteful number, since it uses less digits than its factorization.

2226982355136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26021 (or 26005 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 2226982355136 in words is "two trillion, two hundred twenty-six billion, nine hundred eighty-two million, three hundred fifty-five thousand, one hundred thirty-six".