22282610149800 has 4608 divisors, whose sum is σ = 109542017433600. Its totient is φ = 4037050368000.

The previous prime is 22282610149733. The next prime is 22282610149801. The reversal of 22282610149800 is 894101628222.

22282610149800 is a `hidden beast` number, since 2 + 2 + 28 + 2 + 610 + 1 + 4 + 9 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22282610149801) 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 1151 ways as a sum of consecutive naturals, for example, 115453938504 + ... + 115453938696.

It is an arithmetic number, because the mean of its divisors is an integer number (23772139200).

Almost surely, 2^{22282610149800} is an apocalyptic number.

22282610149800 is a gapful number since it is divisible by the number (20) 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 22282610149800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54771008716800).

22282610149800 is an abundant number, since it is smaller than the sum of its proper divisors (87259407283800).

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

22282610149800 is a wasteful number, since it uses less digits than its factorization.

22282610149800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 22282610149800 in words is "twenty-two trillion, two hundred eighty-two billion, six hundred ten million, one hundred forty-nine thousand, eight hundred".